33 Answered Questions for the topic Imaginary Numbers

09/20/20

#### Complex numbers problem, solving for Z1 and Z2

If Z1,Z2 are part of C such that Im(z1) = sqrt(3), |z2| = 2 and z1*z2 = 4(cos( 5pi/6 ) + sin( 5pi/6)i ). Find the values of Z1 and Z2.I was told that i could use the property of |z1*z2| = |z1||z2|...
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#### Imaginary numbers

Find the values of x and y that satisfy the equation 14x - 64i = 42 + yi

01/22/18

#### Need help with complex numbers and locus

part1. Let z=rcisθ where 0<θ<pi. show that Arg(z^2)=2θ.
part2. sketch the region defined by {z: Arg(z^2)>pi/2}
in the answers it shows region pi/4 to pi/2 and region 5pi/8 to 3pi/2...
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10/08/17

#### Complex number to exponential form

How do you put the complex number -2+i into a form of e^{ix} ?
with i = sqrt(-1)
x= angle between complex number and the real axis

Imaginary Numbers

09/21/17

#### i^-9 is this equal to i ? " i^-9 = i " <---- like that ??

i that right????????

09/16/17

#### In a complex number would you put i in front of or after a radical? I've seen it written both ways and I'm very confused

imaginary numbers. complex numbers.radicals. order in a solution

Imaginary Numbers

05/25/17

#### the zero of imaginary numbers.

So generally 2 the power of 0 equals 1. same goes for 3 and 4 and so on. You know what I mean. So what is zero in the imaginary dimesion? i is the first of the imaginry numbers, like 1 is in the...
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04/24/17

#### Pre calculus- De moivre's Theorem

Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi.)
((sqrt)3 - i)^6

01/16/17

#### What is the relation between the set of complex numbers, the imaginary numbers, and the real numbers?

What is the relation between the set of complex numbers, the imaginary numbers, and the real numbers?

01/09/17

#### find the real solution for each equation? find the remaining zeros of the polynomial?

3x^3+4x^2−7x+2=0
x^4+8x^3+6x^2−5x+14=0
a polynomial has real coefficients. the degree is 4. two zeros are i and 9+i.

Imaginary Numbers Square Roots

11/10/16

#### Imaginary number problem

Is 3i the fifth root of -243i? Justify please.

Imaginary Numbers

09/12/16

#### imaginary numbers and equations

8+(x+2y)i=x+2i
I need to find the value of x and y, assuming they are both real numbers. How do I go about solving this? Thanks!

#### Evaluate these powers of i

Evaluate these powers of i.If there is an imaginary part,be sure to enter your answer in a+bi form,where both a and b are real numbers
i1113
i-147

05/17/16

#### How can simplify this and did i do this correctly: (30/100i-75)(10-6i/6i-8)?

the above is what I got from (4-2i)/(-10+5i) multiplied by (3-i)/(-3+i)
written as equation/equation x equation/equation
thank you for any help

Imaginary Numbers

03/07/16

#### How to Simplifiy? THANKS

(3i)(6i^2) ( have to simplifiy) Not good with imaginary numbers:(
Thanks again

12/07/15

#### Find an nth degree polynomial with real coefficients satisfying the given conditions

n = 3
-4 and 2i are zeros
f(-1) = -45
Find the expanded and simplified polynomial

Imaginary Numbers Quadratics

11/22/15

#### solve using quadratic formula x^2-3x+5=0

wHAT WOULD BE THE ANSWER FOR THIS EQUATION USING SOME RULES OF IMAGINARY NUMBERS. IT WILL BE ALRIGHT IF ANSWER WILL BE IN FRACTION. PLEASE SOLVE AND TELL ME THE ANSWER AND BRIEF DESCRIPTION OF...
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09/16/15

#### How do i get to the correct answer 62/949 + 297/949i

the problem
55. i/(3-2i) + 2i/(3+8i)
my procedure:
(i(3+8i) + 2i(3-2i))/ ((3-2i)(3+8i))
(3i-8+6i+4)/(9+24i-6i+16)
(9i-4)/(25+18i)

08/22/15

#### Polynomial Degree question

Hi guys I had a quick question? How do you determine the minimum degree of a function. Do you look at the roots or the extrema in the graph? If you do look at the x intercepts couldn't that answer...
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Imaginary Numbers Complex Numbers

03/18/15

#### Find all complex numbers whose sixth power equals 64

Basically, written out, looks like
(a + bi)^6 = 64

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