212 Answered Questions for the topic Complex Numbers

Complex Numbers

12/05/14

Add, subtract, multiply, or divide the complex numbers

(7+2i)/(3-2i)
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.
Complex Numbers Polar Form Exact Value

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

11/07/14

9x^2+38xy+8y^2

Writing the expression in factored form. 
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

10/14/14

Square Root of a complex number

sqr root (-15+8i)
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.
Complex Numbers Calculus Functions Range

05/02/14

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 Algebra 1 Simplify Math Help

04/14/14

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

Perform the operation and write all work in standard form.

2/ 1 + i + 3/ 1 - i

12/18/13

Write the quotient in standard form.

A. 2 + i/ i B. 3 + i/ 4-3i

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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