Tuesday
February 9, 2016

# Search: complex numbers!

Number of results: 11,105

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

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.

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
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?

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

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

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

Calculus--complex numbers
March 13, 2008 by Anne

complex numbers
November 4, 2008 by Mary

complex numbers
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 eigenvectors ...
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

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

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

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

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

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

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
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
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

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

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

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

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

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!

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

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

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

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

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

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

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?

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

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

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

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

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

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
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?

Complex number
Express square root of(1-i/1+i) in form of a+bit where a and b are real numbers
February 5, 2016 by henro

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

Chem 100
CHemical formula names a. Name either the complex, or given the name of the complex, write the formula for the complex I. Fe[AlF6] II. tetracarbonylplatinum(IV) chloride III. [CrBr(H2O)(en)2]Cl2 IV. K3[Fe(CN)6] I have really no idea how to do this
May 21, 2015 by Mall

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
July 3, 2011 by HELP

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

Algebra 2
More About Complex Numbers Multiply (4+3i)(1-i) Please show work i need help
November 18, 2014 by Alicia

Algebra 2
More About Complex Numbers Multiply (4+3i)(1-i) Please show work i need help
November 18, 2014 by Alicia

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

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
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

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