# find the fifth roots of -32i

84,141 results-
## Pre-Calculus

Find all of the fifth roots of 32i? -
## pre calc

find the fifth roots of -32i -
## Precalculus

"Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary roots. I checked -
## college algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 this is my answer am I right. check this for me it find the roots of the problem -
## Algebra 2

How do I solve polynomial equation by finding all complex roots? The problem is: factor each expression and find all complex roots of x^3+64 I got as far as x^3+64=(x+4)(x^2-4x+16) Now how do i find the roots of (x+4) and the roots of (x^2-4x+16) Thanks -
## algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem. -
## algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem. -
## Math, factoring

Two of the roots of x^4 +ax^3 +ax^2+11x+b=0 are 3 and -2. 1. Find the value of a and b 2. Find the other roots. I believe that a = -3 and b = -6. I am unsure of how to find the other roots. Please show how you found the answer. -
## Math

Roots Ok, what about roots? Roots of polynomials? Square roots? Cube roots? Terminology, notation, equations using them? Help us out here a little. -
## MATH

if f (x) is a polynomial of degree 3 whose roots are p,q,r. FIND f (3) if sum of cubes of roots is 0 and sum of squares of roots and sum of roots are unit digit of 3^2018 and 5^50666666666 respectively? -
## Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with rational coefficients has the -
## Algebra

Given the roots, 1/2 and 4, find: (A) The quadratic equation 2x^2-9x+4 ? (B) The sum of the roots 4 1/2, or 9/2 (C) The product of the roots 2 Are these answers correct? -
## Math

How to factor x^3 - 3x^2 + 4 =0 Use D'Alembert's Rational Roots Theorem. Any rational roots of the form of p/q (p and q assumed to be relatively prime) must be such that p divides the constant term (in this case 4) and q divides the coefficient of the -
## algebra

Factor this polynomial: F(x)=x^3-x^2-4x+4 Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3). The rational roots can thuis be +/1, +/2 and +/4. If you -
## Algebra

The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. I think the obvious root would be one but the second roots i just can't figure out! -
## Pre calculus

Find all roots f(x)- x^3+2x^2-15x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, -1, 2, -2 What do you do if you cannot find a root?? Using Calc button on ti84 I got X= -5.619 Y=1.4E-11 Still can't find zeros... -
## precalc

express the roots of unity in standard form a+bi. 1.) cube roots of unity 2.) fourth roots of unity 3.) sixth roots of unity 4.) square roots of unity -
## precalculus

express the roots of unity in standard form a+bi. 1.) cube roots of unity 2.) fourth roots of unity 3.) sixth roots of unity 4.) square roots of unity -
## College Algebra--Still Confused

I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational -
## Algebra 2

1) Find the roots of the polynomial equation. x^3-2x^2+10x+136=0 2) Use the rational root theorem to list all problem rational roots of the polynomial equation. x^3+x^2-7x-4=0. Do not find the actual roots. -
## Math

A math teacher wrote x^2+bx+c=0 on the board and asked students to find the two real roots. Alice miscopied one of the coefficients and found that 1 and 4 were the roots. Andy miscopied a different coefficient and found that -2 and 3 were the roots. -
## Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots -
## College Algebra

I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational -
## Alg II

I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended up with the equation -
## Alg II

I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended up with the equation -
## algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots -
## Calculus

relative extrema x^4-2x^2+5 so far I know how to find the derivative which is 4x^3-2x now I am stuck... Please help Huh? 4x^3-2x=0 2x(2x^2-1)=0 and what are the roots? I will give you a hint: one is x=0 The other two are in the second parenthesis. Is it -
## Biology

Which of the following statements correctly compares the functions of a plant's roots and stem? The stem contains a high percentage of cells that provide structural support, unlike the roots. The stem is the first part of the plant to emerge from a seed, -
## Pre Cal

Use Descartes’ Rule of Signs to find the number of possible positive, negative, and nonreal roots for the equation, 4x^3+7x^2+7x+3=0 a. 0 positive, 0 negative, 3 non real roots b. 0 positive, 1 or 3 negative, 0 or 2 non real roots c. 0 positive, 1 or 3 -
## Adv algebra

The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. -
## Math

The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. -
## Algebra2

Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic -
## Algebra II

Which describes the number and type of roots of the equation x^2 -625=0? A. 1 real root, 1 imaginary root B. 2 real roots, 2 imaginary roots C. 2 real roots D. 4 real roots. I have x^2 = 625 x = 25 answer: 2 real roots (25 or -25) Is this correct? Thanks -
## Math

I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this topic and I need help like -
## algebra 2

Suppose the polynomial f(x) has the following roots: 1+6sqrt2, 2−sqrt6, and 6+sqrt2. If f(x) has only rational coefficients, the Irrational Root Theorem indicates that f(x) has at least three more roots. What are the three additional roots that f(x) must -
## math urgent

Find the result if the sumn of the roots of y= x^2+3x-5 is added to the product of the roots. -
## Edge ah am us ,maths

if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.Then find a and b. -
## Edagahamus, subject maths

if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.Then find a and b. -
## Math

Please help me with this question. 4x^2-3x-3 = 0 has roots p, q. Find all quadratic equations with roots p^3 and q^3. I think I do know how to do it but no matter how many times I try, I could never get the right answer. Please help me!! -
## edagahamus com.sec.school

if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.then find a and b. -
## Math

Find all integer roots of f(x). Identify any double roots. f(x) = 2x4 + 11x3 + 13x2 - 11x - 15 -
## Math

Find all integer roots of f(x). Identify any double roots. f(x) = 3x4 - 16x3 + 31x2 - 26x + 8 -
## Math- polynomial functions

State the number of complex roots of each equation then find the roots. I cant figure out these two! 1. 3x - 5 =0 2. c^2 + 2c + 1 = 0 -
## Math

determine the value(s) of k which the equation x^2+kx+9=0 will have a) two real roots b) 2 distinct roots I tried to find the discriminant but I didn't get the right answer. -
## math

the roots of 2x^2 - 3x = 4 are a and b. find the simplest quadratic equation which has roots 1/a and 1/b -
## maths

If 5x4-14x³+18x²+40x+16=(x²-4x+8)(ax²+bc+c) find a,b and c and hence find the four solutions of the equation 5x4-14x³+18x²+40x+16 Given that x³-1=(x-&)(ax²+bx+c) find the values of a,b and c and hence find the three roots of the equation x³=1 -
## amath

The roots of the quadratic equation x^2-mx+n=0 ,where m and n are integers ,are a and 1/4a. (i)Find the sum and product of its roots (ii)show that 4m^2=25n How to do part 2 ? -
## math

If the roots of ax^2+bx+c=0 are 6 and 9, then the roots of 3ax^2+3bx+3c=0 are A. 2 and 3 B. 6 and 9 C. 18 and 27 D. -2 and -3 I think since you multiply by 3, the roots are multiplied by 3, but I'm not sure. -
## Math 11th Grade

Use Demoivre's Theorem to find the fourth roots of -16. Leave the four roots in trigonometric form. How the heck do i do this? -
## algebra

k is uniformly chosen from the interval (-5,5) . Let p be the probability that the quartic f(x)=kx^4+(k^2+1)x^2+k has 4 distinct real roots such that one of the roots is less than -4 and the other three are greater than -1. Find the value of 1000p. -
## Math

determine the value(s) of k which a quadratic equation x^2+kx+9=0 will have. a) two equal real roots b) 2 distinct roots I tried to find the discriminant but couldn't get the right answer -
## Algebra 2/Trigonometry

How do I solve f(x)=x^3-6x^2+16x-96 using Descartes' Rule of Signs to find the number of positive and negative real roots, along with imaginary roots, but not with a graph? -
## mathematics

Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots) -
## maths2

Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots) -
## further mathematics

The roots of the eqn, x^4 + px^3 + qx^2 + rx + s = 0 where p, q, r, s are constants and s does not equal to 0, are a, b, c, d. (i) a^2 + b^2 + c^2 + d^2 = p^2 -2q (in terms of p & q) (ii) 1/a + 1/b + 1/c + 1/d = -r/s (in terms of r & s) (iii) using the -
## Algebra II

Find the exact solution to 6x^2+1= -8x by using the Quadratic Formula. Answer: -4 +/- sqrt 10 2)Which describes the number and type of roots of the equation x^2-625=0? Answer: 2 real roots 3)If g(x)=3x-8, find g[g(-4)] Answer: -20 -
## Calculus

1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval: f(x)=(9-x^2)^(1/2) on [-3,2] I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my -
## Math

how many roots does this polynomial have: f(x) = 5x^3 + 8x^2 -4x + 3 and Of the possible rational roots, which ones are roots: ±1, ±(1/5), ±3, ± (3/5) -
## maths-equadratic eqn

one of the roots of the quadratic equation x^2-(4+k)x+12=0 find, 1)the roots of the equation 2)the possible values of k please show your workings thanks in advance. -
## trig

Find the indicated roots. Write the answer in trigonometric form. Fourth roots of 256(cos 220° + i sin 220°) -
## ALGEBRA 2

Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots. x^3 + 2x^2 + 3x + 6 = 0 (8 points) -
## Math

State the number of complex roots,possible number of real roots and possible rational roots for x^5 - x^3 - 11x^2+ 9x+18=0 -
## math

I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, -
## Math - Find all roots

Find all roots: #1.) 2x^3 + 5x^2 - 22x + 15 = 0 #2.) x^4 + 4x^3 + 6x^2 + 8x + 8 = 0 -
## Cubic Equations

I have three that I need help with if possible. 1. Solve 2x^3 - 3x^2 = 6x - 9 2. Find all real and imaginary roots of the polynomial equation 3x^4 - x^3 + 4x^2 - 2x - 4=0 3. Find a cubic equation with integral coefficients and roots 3i and -5. -
## math

Still looking at how to solve these... Both are cubic polynomials? 43x^3 + 13x^2 + 18x - 456 = 0 DO I divide first by x-1? 2x(3x+2)^2=312 Honestly: I would graph the equations and find the roots first. I don't see them off hand. graph y=43x^3 + 13x^2 + 18x -
## Math-find roots

1.One root of each equation below is the same for both equations. what is this root? a.3x^4 + 14x^3 + 8x^2=0 b.18x^4 - 50x^2=0 2. Find the other roots of each equation in question 1 -
## maths

Show that the equation (1) divided by (x+1) - (x)divided by (x-2)=0 has no real roots Well, to begin, start with 1/(x+1-x). The x's cancel out because they are opposite signs, so now you have 1/1, or just 1. Then, you are dividing 1 by (x-2). In order for -
## Math

Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If q=3, find a non-zero value for p so that the roots are rational. -
## math

Could you please solve so I can double check my answers for the practice quiz? Thank You!! 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –2 + i, –2 – i, –2 d) 2 + 2i, 2 – 2i, –2 2. Find the -
## Math

If A=<2,1> and B=<-1,1>, find the magnitude and direction angle for -2A +3B Find all specified roots: Cube roots of 8i A parallelogram has sides of length 32.7cm and 20.2cm. If the longer diagonal has a length of 35.1cm, what is the angle -
## Algebra

I need ansewer asap There are a famous irrational nummber calld euler's number,often symbolized with an e. Like pie it never seems to end. The first few digits of e are 2.7182818284. Bettween which two square roots of integers could you find this number? -
## Math

Can someone please explain this problem to me? I would appreciate it very much. 1. y=x^2 - 2mx + (2m + 3) 2. D= b^2 - 4ac 3. D= (-2m)^2 - 4(1)(2m - 3) 4. 4m^2 - 8m + 12 5. 4(m^2 - 2m + 3) 6. 4(m + 1)(m - 3) m (> or = to) 3, m (< or = to) -1 Then you -
## Roots and Pre-cal

Find the roots of the function f(x)= x^2 +2x+2 a)-1 + sq root of 2 and -1 - sq root of 2 b) -1 + i and -1 - i c)-1 -2i sq root of 2 and -1-2i sq root of 2 d)-1 +2i and -1-2i The i's are in italics but I can't .make them in italic here for some reason -
## Old Factor qstn:BobP

Bob, I did eventually find a factorization for the expression x^4 + 2x^3 + 4x^2 + 8x +16 The original problem was probably something like x^5-32=0. I think the poster divided (x-2) into it to get the expression above. This of course is the 5th roots of 32, -
## Pre calculus

For the equation 2x^2-5x^3+10=0 find the number the number of complex roots and the possible number of real roots. -
## math

(1)given that -2x^2+6x+7=0, if alfa and B are the roots of the equation, form new equation whose roots are(a)alfa/B and B/alfa (b)alfa/B^2and B/alfa^2(b) if alfa and B are the roots of the equation 4x^+8x-1=0. find the values of alfa^3 B+alfaB^3 -
## Precalculus 11

Determine the value of the discriminant and then state the nature of the roots. x^2-8x-9=0 root 28 is the discriminant 2 different roots is the nature of the roots Is that correct? Thanks a ton! :) -
## how many solutions are real?

hi, I am stuck on this question. y=x^2+4x and y^2= 25x^2+20x+3 how many of the solutions are real? and how many of the real roots are positive and how many are negative? thank you for any suggestions I suggest you solve for the roots. y=x(x+4) At y=0, what -
## precal

Hi I know is is probably basic but can anyone assist with the following : Find all real Roots, expressing as whole # and # under radical sign, not as fraction. and factor completely f(x)= X^3-2x^2-15x+30 I got roots at 2 (x-2) and +/- √5 If someone -
## ^Math.^ Pls,I need help

QUESTION: Find the quadratic equation,which has difference of roots equal to 2 and the difference of the squares of roots equal to 5 -
## Math help please

In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) = 8 x^{7} + 7 x - 13 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or more times). Suppose that -
## Math

I can't seem remember the rules for this.Can someone please help me with the following questions? You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ...? You can find the roots of a quadratic equation -
## Algebra help plz

If € , ß are the roots of the equation 2x^2 + 4x - 3 = 0 and €^2 , ß^2 are the roots of the equation x^2 + px + q = 0, find the value of p. -
## Math

Help. If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are p-(q/p) and q-(p/q). Working please -
## Precalculus /Algebra

Hi I know is is probably basic but can anyone assist with the following : Find all real Roots, expressing as whole # and # under radical sign, not as fraction. and factor completely f(x)= X^3-2x^2-15x+30 I got roots at 2 (x-2) and +/- √5 If someone -
## Algebra 2

I am trying to factor a 4th degree polynomial that does not have any rational roots. I need to somehow get it factored into two quadratics. Anyone know of a method to use. 3x^4 - 8x^3 - 5x^2 + 16x - 5 Two of the irrational roots are 1.135.. and 0.382.. but -
## Pre-Calculus/Trig Check please and help

Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what -
## Algebra

1.What is the nature of th roots of f(x) = x^2 + 4x+16-I think it is two conjugate complex roots because it is -2+-2isquare root 3? 2.Nature of roots of f(x) = X^2 + 2x+1 it would be one double root,correct? I get confused with doing these sometimes, just -
## Math

Which describes the number and type of roots of the equation x^2-625=0? A)1 real root, 1 imaginary root B)2 real roots, 2 imaginary roots C)2 real roots D)4 real roots I went with A sqrt x^2= x (which would be the imaginary) and sqrt 625= 25 (the real) -
## maths

find the roots of the equation X(square)+7x equal to 0.(b)write down the equation whose roots are -2 and 5. I will be happy to critique your thinking. Write the equation, and solve. In the second, hint: (x+2) is one factor. -
## calc

by applying rolle's theorem, check whether it is possible that the function f(x) = x^5 + x -17 has two real roots. your reason is that if f(x) has two real roots then by rolle's theorem, f'(x) must be equal to what at certain value of x between these two -
## Algebra

I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros -1, -1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the polynomial (how many real and -
## Alg 2

By what amount does the sum of the roots exceed the product of the roots of the equation (x-7)(x+3)=0? I have no idea what to do! -
## math

The roots of the eqn x^4 - 3x^2 + 5x - 2 = 0 are a, b, c, d, and a^n + b^n + c^n + d^n is denoted by S~n. The equation of the roots a^2, b^2, c^2, d^2 is y^4 - 6y^3 + 5y^2 - 13y + 4 = 0. State the value of S~2 and hence show that S~8 = 6S~6 - 5S~4 + 62. -
## math

If the sum of the roots of 2 x squared - 6 x + 7 equals zero is multiplied by the product of its roots the result is -
## maths

If one of the roots of the eqn ax²+bx+c=0 be reciprocal of one of the roots of a1x²+b1x+c1=0 then prove that (a a1-c c1)²=(b c1-a b1)(b1 c- a1 b) -
## Precalculus

What is the smallest positive integer $n$ such that all the roots of $z^4 + z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity? -
## Precalculus

What is the smallest positive integer $n$ such that all the roots of $z^4 - z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity? -
## Precalculus

What is the smallest positive integer $n$ such that all the roots of $z^4 + z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity?