212 Answered Questions for the topic Complex Numbers

Complex Numbers Absolute Value

11/17/14

#### Why does l1+ il = v(1+1)

Please explain why l1+il = √(1+1) is true? It is a step in working out the question: prove that l(3+i)/(2-i)l = √2.

11/16/14

#### Find the exact value of (1/(2^1/2) - 1/(2^1/2)i)^100

What is the exact value of the above equation in polar form? Please show the steps in how to get to the answer. Thanks.

11/14/14

#### how do I solve the equation 2^(3x+1) = 8^p

How do I solve the above equation for x in terms of p? Please show the steps in working it out. thanks.

Complex Numbers Imaginary Numbers

11/13/14

#### If a+bi = 0, does a=0 and b=0?

when a real number and an imaginary number added together equals 0, does both the real number and the real part of the imaginary number have to equal 0?

Complex Numbers

11/02/14

#### write the complex number in standard form 5i^2013

stander form is a+bi a and b being real numbers

Complex Numbers Maths

09/26/14

#### complex number

IF 1,ω+ω²+.....+ωn-1 are the nth root of unity, then the value of (1/x-1)+(1/x-ω) +......+1/x-ωn-1 =________?

Complex Numbers Maths

09/23/14

#### complex number

If mod z =2, then the points representing the complex numbers -1+5z will lie on a??
1. circle
2. straight line
3. parabola
4. ellipse

09/23/14

#### complex number

If one vertex of an equilateral triangle is 1+i and centroid is it's origin then other two vertices of triangle are?

Complex Numbers

09/06/14

#### 4 minus i divided by 7 minus i what well the answer be in standard form, a+b?

4-i/7-i the answer has to be in a+b form. Divided the numerator and denominator by conjugate of the denominator and simplify the resulting expression.

Complex Numbers

08/20/14

#### The imaginary number i is defined such as i^2=-1. What does i^+ i^2+i^3+...i^23 equal?

I keep getting i^23=i^20+3=i(4x5)+3=-i
It should up -1 but I do not know how

Complex Numbers Polar Forms

05/13/14

#### Write the complex number in polar form with argument ? between 0 and 2p. 9 radical 3 - 9i

Write the complex number in polar form with argument θ between 0 and 2π. 9 radical 3 − 9i

Complex Numbers Polar Forms

05/13/14

#### Write the complex number in polar form with argument ? between 0 and 2p. 7radical 3 - 7i

Write the complex number in polar form with argument θ between 0 and 2π. 7radical 3 − 7i

Complex Numbers Trigonometric Form

05/08/14

#### Write the complex number in trigonometric form r(cos theta + I sin theta ) with theta in the interval (0,2pi).

12) 3i. 3i is the problem i am trying to answer please help me not sure how to do it. It's pre calcus.

#### Find the range of this function

The function f : C → C is given by f(z) = z² + 14.
What should I do to find the range of this function?

#### complex numbers

perform each of the following calculations involving complex numbers, and write the answer, simplified as much as possible, in the form a + bi, where a and b are real numbers.
1. (4+2i) – (6 –...
more

Complex Numbers

03/20/14

#### the square root of -9

i am having alot of problems with algebra 2. I'd like help finding some of the answers because I know that no matter how I work it out I will not end up with the right answer.

Complex Numbers Standard Form

02/15/14

#### express the following complex numbers in the standard form of a complex number

u=2-3i and
v=-3+i
Write the following complex numbers in the standard form of a complex number.
u+v=
u-v=
uv=
u/v=
v/u=
v^2=
v^3=
v^4=

Complex Numbers Simplify

01/06/14

#### How would you simplify 2/3-i?

I tried to multiply the 3-i on the top and bottom but then I get lost on what belongs on the bottom and on the top.
I thought I would have something like 6-2i/9 but that doesn't seem right.

12/18/13

#### Given 4+3i

A. Identify the complex conjugate
B. Multiply the conjugate pairs & write in standard form

12/15/13

#### A. 3-sqrt(-16) B. -4 C. -2i+i^2 D. (sqrt(-43)^2 E. 3i^2-5i^3

The directions say to simplify and write in standard form a+bi.

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