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August 27, 2014

Search: Math - complex numbers

Number of results: 96,313

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 dont know what they are. Can you help me?
October 27, 2010 by Jeida

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

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

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

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

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

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

Calculus--complex numbers
the complex number Z satisfies Z/(Z+4)= 3+2i Find Z. please help thx!
March 13, 2008 by Anne

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

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

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

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

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

math b
divide complex numbers: 2+3-3i^3/1-i
April 1, 2009 by annaiiz

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

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
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
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

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

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 b
last question finally simplify complex numbers: i^16/i^3
April 1, 2009 by annaiiz

math
Simplify the following product of complex numbers. (8 + i) (-4 3i)
March 2, 2011 by Jackster

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

math
Simplify the following quotient of complex numbers into the form a + bi. -8-8i/1+2i
March 2, 2011 by Jackster

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

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, dont 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

MATH
The quadratic equation x2 + mx + q = 0, where m and q are real numbers, has the complex root a + bi. Which of the following must be equal to m?
October 1, 2013 by Anonymous

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

Math
Use the quadratic formula to solve the equation. x - 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

Math
We have to simplify complex numbers and I was wondering whether I did these problems correctly. 1. 4i^2-2i^3 = -4+2i 2. (-i)^3 = i 3. (the square root of a -2)^6= -8 4.1/(2i)^3 = i/8
December 16, 2007 by Bethany

math help people lik really desperate!!
ok i have to divide complex numbers: question is: 1-2i+i^3/1+i this is what i did: 1-2i+i(-i)/1+i 1-2i-i^2/1+i 1-2i-i(-1)/1+i 1-2i+i/1+i 1-3i/1+i*1-i/1-i 1-i-3i+3i^2/1-i+i-i^2 1-i-3i+3(-1)/1-i^2 1-i-3i-3/1-(-1) 1-4i-3/2 -2-4i/2 my answer is -2i-1 is that right?
April 1, 2009 by annaiiz

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

math
Sketch the sets of complex numbers that would satisfy the following equation: |z| > 3 Explain in detail how the graph will look like. Thanks.
October 11, 2013 by Rinchan

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

Trigonometry
complex numbers
December 8, 2013 by steve

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

Math - Complex Numbers
Could someone show me how to get the work for: 3/4 (sqrt)-16/25 ? The answer says 3/5i. Could anybody tell me how to get there and work with complex fractions and simplify them? Thanks! 3/4 SQRT(-16/25) 3/4 SQRT( 16/25*-1) 3/4 *4/5 *SQRT( -1) but the sqrt of -1 is defined as i...
May 8, 2007 by Danielle

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
How i change 315 grad in 7xpi/4? I have on Thuesday a exam in math but i dont no how i can convert 135 grad in in this form(how the example above). I need it for complex Numbers
May 19, 2012 by Deny

Math/Algebra
Find the x-intercepts of f(x)=4x^2-20. Give an exact answer using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i.
March 6, 2009 by Kelly

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

math
How do I find a complex prisoner number for f(z)=z^2+3? I have tried all the numbers but they all seem to be going up
August 16, 2011 by Chanee

Math
i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1? Hint, try to prove first that for any number X: -1 times X equals -X How do you find the square root of -1? The square of any real number is alwayspositive. ...
November 15, 2006 by Count Iblis

Precal
Prove algebraically that |w+z|<=|w|+|z| for any complex numbers w and z.
August 16, 2014 by Josh

math
simplify the following expressions involving complex numbers. (3+2i)-(-7-i) is i like x? and how would this work i know that you do this: (3+2i)(7+i) to get rid of the sign between the expressions. but then what?
January 18, 2007 by Shay

math
simplify the following expressions involving complex numbers. (3+2i)-(-7-i) is i like x? and how would this work i know that you do this: (3+2i)(7+i) to get rid of the sign between the expressions. but then what?
January 18, 2007 by Shay

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

algebra
x^2+225 ..factor over complex numbers?
April 6, 2010 by mada

maths
compplex numbers multiplying complex and not: 3*(6-j8) also, 3+(6-J8)
May 5, 2014 by jerome

English
As it happens, you're right and I'm wrong. Tell if compound, complex, simple, compound-complex complex
November 17, 2010 by Hayley

math
list all numbers from the given set {-9,-4/5,0,0.25,/3,9.2,/100} that are a) whole numbers b) natural numbers c) intergers d) rational numbers e) irrational numbers.
July 31, 2013 by TINDO

AiMS MATH
-5 Is A Member Of Which Subset Of Real Numbers. a) natural numbers b) whole numbers c) intergers d) rational numbers e) irrational numbers
January 20, 2011 by Angel

math complex numbers
3 + 3i + 8 − 2i − 7
November 17, 2010 by dmj

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

math
Hi, there is a problem on my math book that has been giving me headaches. That's why I'm looking for help. The problem is: Given z and w, two complex numbers such as |z+w|=|z-w|, prove that Arg z - arg w = plusminus (pi/2)
May 12, 2014 by erick

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

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

algebra
Find the exact solutions to the quadratic equation in the complex numbers. (x-13)=-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 (algebra)
Let x,y be complex numbers satisfying x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of all possible distinct values of a such that x^3+y^3 is a positive prime number?
July 16, 2013 by Danny

Math
find all real numbers x and y that satisfy -2x-1-2yi=4x-5i I think the first step is rewrite with constant complex on one side. -2x-2yi-4x=1-5i now I'm lost
October 23, 2013 by Terri

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)=-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)=-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
Which expression is equivalent to (-2)(a+6)? -2a+6 2a+12*** -2a-12 -2a+12 To which subsets of real numbers does the number -22 belong? Choose all that apply. Whole numbers*** rational numbers integers*** irrational numbers "6 times the difference of b and p?" 6b-p 6(b-p)*** 6-...
September 12, 2013 by Gabby

5th grade Language Arts
I need help classifying sentences (compound, complex, compound-complex). Here's the sentence: I got in trouble so I can't go to the party, but it would have been fun. I answered it was complex which I got wrong.
November 26, 2012 by Alex

check my work please!
ok i have to divide complex numbers: question is: 1-2i+i^3/1+i this is what i did: 1-2i+i(-i)/1+i 1-2i-i^2/1+i 1-2i-i(-1)/1+i 1-2i+i/1+i 1-3i/1+i*1-i/1-i 1-i-3i+3i^2/1-i+i-i^2 1-i-3i+3(-1)/1-i^2 1-i-3i-3/1-(-1) 1-4i-3/2 -2-4i/2 my answer is -2i-1 is that right?
April 1, 2009 by annaiiz

Pre calculus
Please help me! Find the exact solutions to the quadratic equation in the complex numbers. (x-13)=-36
July 3, 2011 by HELP

math
Express the complex number 8(cos30 degrees + i sin30 degrees)sin in complex in the form a+bi
July 22, 2013 by Lilly

Precalc, i really don't get my hw
how do i do this? factor x^4-x^2-20 over real and complex numbers I tried to do synthetic, but it doesnt work.=(
October 14, 2008 by Samya

Algebra 2
"The Discriminant; Equations in Quadratic Form" Solve over the complex numbers. 1/e + 1/(square root of e) - 6 = 0
January 3, 2010 by Mary

Algebra
Multiply. x-(6+2i)][x-(6-2i)] Note that these expressions contain complex numbers. Simplify your answer as much as possible.
January 23, 2011 by Rachal

Math
Find all complex zeros for the following polynomial function. Please show all of your work. f(x) = x^4 - 91x^2 - 900 Hi, I need help... I'm not understanding this complex zero..
June 1, 2011 by CheezyReezy

Math
Hot numbers in a lottery are numbers that keep coming up. Cold numbers are numbers that have not "hit" in awhile.Some people select hot numbers or cold numbers when buying a ticket. Using probability,explain whether this makes sense. Please answer this question. Thanks
January 29, 2011 by Melea

Math
Morley Fast, a contractor, built a warehouse complex in Canmore for the following costs: land, $12,000; concrete & steel' $34,500; plumbing & electrical, $48,990; general carpentry & roof, $42,340; and other expenses, $34,220. Question1: What percent of the total cost is ...
February 6, 2014 by kik

complex numbers and imaginary units
2i/1+i your question probably says 'simplify' multiply top and bottom by (1-i)\(1-i) and remember that i^2 =-1 so... 2i/(1+i) * (1-i)\(1-i) = (2i - 2i^2)/(1-i^2) = 2(i-i^2)/(1+1) =i+1
May 23, 2007 by candace

business math
Morley Fast, a contractor, built a warehouse complex in Canmore for the following costs: land, $12,000; concrete & steel' $34,500; plumbing & electrical, $48,990; general carpentry & roof, $42,340; and other expenses, $34,220. Question1: What percent of the total cost is ...
February 4, 2014 by kik

English-Grammar
Although he was born in Scotland, he became a hero of the American Revolution. simple sentence compound sentence complex sentence (my answer) compound complex sentence His ship was badly managed, but Jones refused to give up. simple sentence (my answer) compound sentence ...
December 11, 2012 by Anon

Math
48,24,6,36,12,54 Which of the following describe this set. A. Numbers that are multiples of 3 B. Numbers that are prime. C. Numbers that are divisible by 6 D. Numbers that are factors of 36 I think its a and c
March 7, 2011 by Taylor

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