Number of results: 12,520

**math-complex numbers**

Sketch the sets of complex numbers in the complex plane that satisfy the following: a) |z-1|=2 b) |z-3i|=2 c) |z-5+2i|=2 I'm not sure, but are you supposed to rearrange the whole thing to |z|=a+bi? So, part b would be |z|=2+3i.

*October 9, 2013 by Rin-chan-san*

**Math**

I am in the 5th grade and my homework tonight is about complex numbers. I have no idea how to do complex numbers, not to mention, I don't know what they are. Can you help me?

*October 27, 2010 by Jeida*

**Pre-cal**

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help?

*September 1, 2014 by Sam*

**Precalculus**

Let z and w be complex numbers such that |2z - w| = 25, |z + 2w| = 5, and |z + w| = 2. Find |z|. I need a little help with absolute values on complex numbers.

*August 16, 2014 by Aditya*

**Math (Complex Numbers)**

Let a,b,c be complex numbers satisfying a+b+c=abc=1 and (ab+bc+ac)/3=(1/a^2)+(1/b^2)+(1c^2) The sum of absolute values of all possible ab+bc+ac can be written as (√n)/m, where n and m are positive coprime integers. What is n+m?

*May 9, 2013 by Mahler*

**Complex Numbers**

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

*April 26, 2016 by Katie*

**Complex Numbers**

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

*April 28, 2016 by Katie*

**Complex Numbers**

The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i| = \sqrt{38} has two solutions z1 and z2 in complex numbers. Find (z1 + z2)/2. Im really just plain old confused. Could anyone help me out?

*August 13, 2014 by Aditya*

**Algebra II**

PLEASE HELPPPPPP What are the possible numbers of positive, negative, and complex zeros of f(x) = x4 + 3x3 − 2x2 + 1? (6 points) Positive: 2 or 0; negative: 2 or 0; complex: 4, 2, or 0 Positive: 2, or 0; negative: 4, 2 or 0; complex: 4, 2, or 0 Positive: 2 or 0; negative: 2 ...

*December 6, 2016 by HHELLPPPPPP*

**Complex numbers**

Prove algebraically that |w+z| is less than or equal to |w|+|z| for any complex numbers w and z, where || is the magnitude. After letting w = a+bi and z = c + di and doing some plugging in etc. I got that ac-bd <= b^2 + sqrt (a^2+b^2)(c^2+d^2) + d^2 But is my proof complete...

*January 2, 2014 by Cambridge*

**Complex numbers - quadratic formula**

Let a and b be real numbers. The complex number 4 - 5i is a root of the quadratic z^2 + (a + 8i) z + (-39 + bi) = 0. What is the other root? I did a lot of work on hand and with wolfram alpha but it doesn't simplify itself easily at all....anyone have any help to offer? Thanks

*January 9, 2014 by Cambridge*

**Calculus--complex numbers**

the complex number Z satisfies Z/(Z+4)= 3+2i Find Z. please help thx!

*March 13, 2008 by Anne*

**Math**

"The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two complex numbers." This is true right?

*February 19, 2015 by Jay*

**complex numbers**

the complex number Z satisfies Z+i/(1+2i)= iz Find Z. please help thx!

*November 4, 2008 by Mary*

**complex numbers**

the complex number Z satisfies (Z+i)/(1+2i)= iz Find Z. please help thx!

*November 4, 2008 by Mary*

**Maths- complex numbers**

Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation for tan (2 theta + ...

*February 13, 2007 by Jake*

**calculus**

can you please explain tep by step how to solve dividing complex numbers strictly using a graph, the complex plane. I know how to do it algebraically, but not graphically. thankyou

*June 9, 2012 by wendell*

**Pre-calculus**

Let z and w be complex numbers such that |2z-2|=25, |z+2w|=5, and |z+w|=2. Find |z|. I first squared both equations and expressed the square of the magnitudes in terms of the complex numbers and its conjugates. Next, I summed the equations together and attempted to solve for |...

*February 16, 2015 by majorbill*

**precalculus**

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b \overline{z} = 38 for some complex numbers a and b. Find the product ab. I can get the equation of the line by slope intercept but I don't know how to do this in the ...

*September 6, 2014 by Jamie*

**Abstract Algebra**

Let H={a+bi a,b is a element R, a^2+b^2=1} be a subset of the non zero complex numbers C*. Prove that H<C* under complex multiplication using the one-step subgroup test. Also describe the elements of H geometrically.

*December 7, 2007 by Devin*

**ALGEBRA!!**

calculate P(i) for the following polynomial p(x)=x3+2x2-5x+8 Find | z | for each of the following complex numbers and represent them on a complex plane. a. z=-3-4i b. v=5-12i c.u=7+24i d.w=-9+40i e.p=1+3i f.t=-2i g.n=4 h.m=0 i.s=(√3-i)2

*October 7, 2010 by natali*

**masterin quantum**

Consider the left shift operator on the space of infinite sequences of complex numbers: L(z1,z2,…)=(z2,z3,…). Is L injective? Yes <text> Yes</text> - incorrect No Is L surjective? Yes <text> Yes</text> - correct No Find the eigenvalues and ...

*April 6, 2015 by JuanPro*

**math-complex numbers**

If z = -3+4i, determine the following related complex numbers. a)vector z b)3(vector z) c) 1/(vector z) d) |z| e) |vector z| f) (vector z)/(|z|^2)

*October 11, 2013 by Rinchan*

**Algebra 2**

When dealing with imaginary and complex numbers, are there 2 solutions? I.e.: x^2=4 x=2,-2 For: x^2=-4 x=2i or -2i ? (Is there a 2i and -2i, like for real numbers?)

*October 24, 2012 by Bart*

**algebra, math**

How many ordered triples of complex numbers(a,b,c) are there such that a^3- b,b^3-c,c^3-a are rational numbers, and a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2[{(a^3) b}+{(b^3)c}+{(c^3)a}]

*October 11, 2013 by pls help quickly*

**ALGEBRA**

How many ordered triples of complex numbers(a,b,c) are there such that a^3-b,b^3-c,c^3-a are rational numbers, and a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2[{(a^3) b}+{(b^3)c}+{(c^3)a}]

*October 11, 2013 by boss*

**ALGEBRA**

How many ordered triples of complex numbers(a,b,c) are there such that a^3-b,b^3-c,c^3-a are rational numbers, and a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2[{(a^3) b}+{(b^3)c}+{(c^3)a}]

*October 11, 2013 by algebra,math*

**math**

How many ordered triples of complex numbers(a,b,c) are there such that a^3- b,b^3-c,c^3-a are rational numbers, and a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2[{(a^3) b}+{(b^3)c}+{(c^3)a}]

*October 11, 2013 by frm*

**math**

How many ordered triples of complex numbers(a,b,c) are there such that a^3- b,b^3-c,c^3-a are rational numbers, and a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2[{(a^3) b}+{(b^3)c}+{(c^3)a}]

*October 11, 2013 by plss answer fast*

**math**

solve and simplify the answer completely by using pure imaginary numbers/complex numbers. 2x^2+3x+2=0

*December 4, 2008 by anonymous*

**algebra2-imaginary numbers**

You can add or subtract complex numbers by treating the i as a variable and combining like terms. I am having a lot of trouble figuring out these equations with imaginary numbers. 1. (3+2i)+(7-i)= 2.(1-6i)+(2-i)= 3. (2+i)-(3+i)= 4.(4+i)-(2-i)= Can someone please walk me ...

*January 16, 2007 by chrissy*

**Roots, complex numbers**

I want to solve z^5=-1 But all the examples I've seen use positive numbers. The -1 is throwing me off somewhat. Most of the examples I've worked with would be solved using the polar form I.e Z^5(cos5+i sin5)=1(cospi +i sinpi) But as I said negative numbers I'm finding confusing.

*April 25, 2016 by Mrbob*

**maths-complex numbers**

by using the substitution w = z^3, find all the solutions to z^6 - 8z^3 +25 = 0 in complex numbers, and describe them in polar form, using @(theta) to denote the angle satisfying tan@ = 3/4 ( note simply leave @ as it is, don't calculate it). i got up to z^3 = 4+3i and 4-3i ...

*March 12, 2007 by Anonymous*

**English**

Identify the structure used in each of the sentences below. 1. The hamburger came from Hamburg, Germany, and the hot dog came from Frankfurt. simple compound complex compound-complex 2. The idea of placing meat on a bun, however, came from the United States. simple compound ...

*December 28, 2012 by Fate*

**English**

Choose the term that describes the type of sentence shown. If you are in line early, you'll be sure to get the best tickets. A.) compound-complex B.) complex C.) compound D.) simple I think it is C? John was late to dinner and I was late to the movies. A.) simple B.) complex C...

*December 16, 2013 by Cassie*

**chemistry**

How to find moles given oxidation numbers and chemical formula? Trying to do my chemistry lab but i'm super duper stuck. please help me i'm gonna die. this is the part i'm stuck on: The overall charge on the complex, [Ni(en)(H2O)]^2+ * SO4^2- * H2O is zero; the charge on ...

*November 15, 2012 by dr bob's number one fan*

**Quick english help**

Please check & see if I classified these sentences as simple, complex, or compound correctly! 1. His tie is going to choke him unless we can get it off. (Is this a complex sentence?) 2. She laughed so hard until the teacher told her to stop. (Is this a complex sentence?) 3. ...

*December 14, 2014 by Anonymous*

**algebra**

Can someone please help me with these problems? Please and thank you. 1)Solve the equation: (1/x)+[x/(x+2)]=1 2)Simplify the complex fraction: 3-(3/4) ------- (1/2)-(1/4) (1/x)+ [x/(x+2)] = 1 Convert left side to the sum of fractional terms with common denominators. [(x+2) + x...

*May 13, 2007 by Lydia*

**Complex Number Proof**

Prove: If Z and W are complex numbers, then the conjugate of (Z+W) is equal to the conjugate of Z plus the conjugate of W. My thought is that this is kind of like the distributive property, but I'm not sure. It doesn't help that I haven't written a proof in over 10 years. Help...

*June 11, 2008 by Amy*

**Language arts check answers**

If you fail to plan, you plan to fail. simple complex compound <----My choice compound-complex I was thinking about meeting Susan for dinner and then we could go shopping. compound simple complex <----My choice compound-complex Strawberries and bananas are my two ...

*January 7, 2015 by Sandy*

**Math**

I Don't Know What Is This Subject Called In English But It's About Complex Numbers it says 25 = 16 - 9 i^2 = (4 ± 3i) But My Teacher Says 25 = 25 - 0 i^2 = (5 ± 0i) I Think My Teacher Is Wrong , The Result Is 25 But There Will Not Be Complex Number Because ( 0i = 0) So Is My...

*October 5, 2011 by Jack*

**can someone please help me?**

simplify the following expressions involving complex numbers. (3+2i)-(-7-i) 10 + 3i how did you do that? can you show me this one and explain how this time? (3+2i)(-7-i) or even (3-2i)^2 you would do 3+2i=5i, then -7-i=7i then 5i+7i=12i (3+2i)-(-7-i) = (3+2i) + (7 + i) = 3 + 7...

*January 18, 2007 by Shay*

**Math**

Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0

*January 31, 2012 by Chelsea*

**Algebra 2/Trig.**

I forgot some stuff from my 7th grade algebra class about complex numbers...like what do you do with a problem like this 5+5i 3-i divided by + divided by 2-i 4+3i thanks.(divided by refers to dividing line in a fraction) In each case, RATIONALIZE the denominator. Here is the ...

*November 19, 2006 by Tom*

**complex numbers**

1) 4b-5t(-a-3)i=7-8i 2) (7+4i) - (l+2i) 3) (3+2i) (-2+4i)

*October 14, 2014 by anonymous*

**english/check please**

Find the independent clauses and the dependent clauses.Write wether it is complex or compound-complex 1)Mr and Mrs Johnson play golf(ind) when the weather is warm.(dep)complex 2)What I would like is a vacation. independent,complex 3)Alicia works at the daycare center that is ...

*April 30, 2012 by joe*

**Trigonometry**

complex numbers

*December 8, 2013 by steve*

**Math**

Complex numbers 5i+7i x i

*October 13, 2016 by Aria*

**LAL!**

are these complex sentence. if it is complex, and are the subordinate clause right are these right? the subordinate clause are in capital letters 1-IN THE 1950S the giants were the national league team from new york.( COMPLEX) 2- fans argued all the time about WHO WAS THE ...

*May 12, 2010 by Sara!*

**english**

Write whether a sentence is simple, compound, complex, or compound-complex. 1-Mrs. Huang planned a party for Kim because she was graduating from high school. Complex 2=She invited Lisa,Elena,and Enrique to the party. Simple 3-Mr. Huang thought that kim's friends should come to...

*May 1, 2012 by joe*

**complex numbers**

find the values of x and y x+5i=y+yi

*March 8, 2009 by Lou*

**math b**

divide complex numbers: 2+3-3i^3/1-i

*April 1, 2009 by annaiiz*

**Math**

complex numbers: Evaluate z=(-j 3/4)^-j^3/4

*January 14, 2016 by Jhun*

**Math**

Dividing complex numbers 4-2i/3+1

*October 8, 2016 by Aria*

**English**

When you are looking at a work by Monet, stand back at least fifteen or twenty feet. simple, compound, complex, compound-complex complex

*November 17, 2010 by Hayley*

**English**

Are these sentences compound, complex, or compound complex? Volunteer helped clear roads so that supplies could get to villages that needed them. Complex..

*March 29, 2015 by Kelley*

**English**

In the following sentence are they compound, complex, or compound complex All girls were taught spinning when they were quite young, and they also learned weaving. I think compound complex While housewives were at the marketplace, they met at the public fountain, and young ...

*December 15, 2015 by Kelley*

**Math**

simplify (8 – i) – (4 – i) using Complex Numbers

*September 7, 2011 by Peter*

**Math**

Factor over {complex numbers} 9x^2 + 49

*April 9, 2012 by Nathan*

**Precal**

Prove algebraically that |w+z|<=|w|+|z| for any complex numbers w and z.

*August 16, 2014 by Josh*

**Math**

Dividing complex numbers 7-13i/2i

*October 8, 2016 by Aria*

**math real and complex numbers lesson**

(7,-9)+(3,5)

*March 22, 2017 by Anonymous*

**Trig/Precalc**

The system of equations: |z-2-2i|=sqrt(23), |z-8-5i|=sqrt(38) has two solutions z_1 and z_2 in complex numbers. Find (z_1+z_2)/2. My first instinct on this problem was to square each equation given that the square of the magnitude of a complex number is much easier to deal ...

*February 16, 2015 by majorbill*

**precalculus, complex numbers**

Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \neq 1$. Let $\alpha = \omega + \omega^2 + \omega^4$ and $\beta = \omega^3 + \omega^5 + \omega^6$. Then $\alpha$ and $\beta$ are roots of the quadratic \[x^2 + px + q = 0\] for some integers $p$ and $q$. ...

*February 22, 2017 by Bobby*

**Calculus**

two complex numbers Z and W are related by the formula W=(Z+1)/(1-Z) what is W if Z=1.5i? thanks for the help!

*March 13, 2008 by Anne*

**math b**

last question finally simplify complex numbers: i^16/i^3

*April 1, 2009 by annaiiz*

**algebra**

x^2+225 ..factor over complex numbers?

*April 6, 2010 by mada*

**math**

Simplify the following product of complex numbers. (8 + i) • (-4 – 3i)

*March 2, 2011 by Jackster*

**maths**

compplex numbers multiplying complex and not: 3*(6-j8) also, 3+(6-J8)

*May 5, 2014 by jerome*

**math**

For what real values of x and y are the numbers -3+i^2y and x^2+y+4i are conjugate complex

*June 6, 2014 by haritha*

**Algebra**

Find all complex numbers such that z^2=2i. Thank you!

*October 26, 2014 by Trish Goal*

**English**

As it happens, you're right and I'm wrong. Tell if compound, complex, simple, compound-complex complex

*November 17, 2010 by Hayley*

**Chemistry**

8-hydroxyquinoline (Q) can complex and precipitate many metals. A mixture of the aluminium and magnesium complexes weighed 1.0843g (MW=459.43; 312.61). When ignited, the mixture decomposed and left a residue of Al203 (MW 101.96) and MgO (MW 40.304) weighing 0.1344g. What is ...

*August 24, 2014 by David*

**algebra**

x^2+225 ... factor expression over the complex numbers?

*April 7, 2010 by mada*

**intermediate algebra**

Simplify the following product of complex numbers (-10+3i)*(-2)

*July 9, 2011 by swirl*

**division of complex numbers**

(1-2i)/(2+3i) Do I multiply both the numerator and denominator by 2+3i?

*January 16, 2012 by lola*

**Algebra 2**

More About Complex Numbers Find the reciprocal. -1-i 2i

*November 18, 2014 by Alicia*

**Math**

Find all solutions for the complex numbers: a) z^4 = 9i -46 b) 8*sqrt3 / z^4 +8 =+i

*February 14, 2015 by Complex number*

**Algebra**

Find all complex numbers $z$ such that \[ |z|^2-2\bar z+iz=2i. \]

*June 18, 2015 by XXX*

**Math**

Complex Numbers please helpppppp and show solutions 1.) (3-7i) + (-1-2i) 2.) (4-5i) - (2-3i) 3.) (7-5i) + (6+9i) 4.) 2+3i/3-5i

*October 14, 2015 by Denzel*

**English**

Choose the term that best describes the underline term. 1. The toy "that Fido loves to chew" is made by hand. a. noun clause b. direct clause c. adverb clause d. adjective clause** Choose the term that describes the sentence shown. 1. If you fail to plan, you plan to fail. a. ...

*December 17, 2016 by Aubree (Answer Check)*

**Math**

Use the quadratic formula to solve the equation. x² - x = -2 Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

*April 24, 2011 by Mary*

**calculus**

find the modulus and the argument of the following complex numbers: 15-4i and a-ai where a is greater than 0

*February 20, 2008 by Courtney*

**math**

Simplify the following quotient of complex numbers into the form a + bi. -8-8i/1+2i

*March 2, 2011 by Jackster*

**algebra**

Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36

*July 1, 2011 by Kevin Smith*

**algebra2**

simplify the following quotient of complex numbers into the form of a+bi -9+8i/1+2i

*March 5, 2012 by melba*

**Math**

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

*April 27, 2016 by Katie*

**Precalculus**

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

*April 27, 2016 by Katie*

**Algebra 2**

Complex numbers are written in the form a + bi. What does i represent? -1 0 1 sqrt-1 **my choice

*November 30, 2016 by JJ*

**English**

Is this sentence compound, complex, or compound complex? Charity groups distributed food and safe drinking water, and they handed out sleeping bags and mosquito nets, which were needed in the tropical climate. Is this compound complex?

*March 29, 2015 by Kelley*

**English**

Please check my work. Identify whether each sentence is complex, an exclamation, declarative, or interrogative. 1. Tim likes soup, so Mary bought tomatoes. Complex 2. Oh no! Exclamation 3. Do you want to play in the Garden? Interrogative 4. In the story, the author told how ...

*July 20, 2011 by Priya*

**English**

Please check my work. Identify whether each sentence is complex, an exclamation, declarative, or interrogative. 1. Tim likes soup, so Mary bought tomatoes. ----- Complex 2. Oh no! ----- Exclamation 3. Do you want to play in the Garden? ----- Interrogative 4. In the story, the ...

*July 20, 2011 by Priya*

**Algebra II**

Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36 HELP ME PLEASE!

*July 1, 2011 by hot*

**Algebra II**

Please help me! Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36

*July 3, 2011 by Reanna*

**intermediate algebra**

Simplify the following quotient of complex numbers into the form a+bi 1+8i ---- -6+i

*July 9, 2011 by swirl*

**maths (complex numbers)**

if b is a real number satisfying b^4 + 1/(b^4) = 6, find the value of :- (b + i/b)^16 where i = sqrt of -1

*October 26, 2011 by ...........*

**maths**

Find the number of different ordered quadruples (a,b,c,d) of complex numbers such that a^2=1 b^3=1 c^4=1 d^6=1 a+b+c+d=0

*April 1, 2013 by stranger*

**Complex numbers**

If f(x) is a polynomial with real coefficients such that f(4+3i)=31+16i, then f(4−3i)=a+bi. What is the value of a+b

*May 24, 2013 by Tony*

**Math**

Find the real and imaginary parts of the following complex numbers: (i) 1.5e^jπ/4 (ii) je^1.2 + j^2 e

*April 10, 2014 by Mat*

**algebra 2a help**

True or False Complex numbers can be graphed on the real xy coordinate plane?

*November 19, 2015 by no of your business*