217 Answered Questions for the topic Complex Numbers

Complex Numbers Graphing

11/29/17

Write in standard notation:

Write in standard notation, : a+bi 2(cos π/3+ isin π/3)
Complex Numbers

11/13/17

complex numbers in rectangular form

You are given four complex numbers in rectangular form: p=5+3j. q=2-4j. r=6j. s=-3-2j.Simplify the expressions below giving the answer in rectangular form:(i) p+s(ii) p+q(iii) r s (iv) r(p-q)(v)... more
Complex Numbers Sum Conjugate

10/18/17

the conjugate of a sum is the sum of the conjugates of the individual complex numbers

please help I have no idea what this means and I need the work to show how to do it
Complex Numbers

10/11/17

What is (ab) the whole conjugate

Here no plus or minus is there, then how could we able to find conjugate?

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

Find the fifth roots of the complex number:

Find the fifth roots of the complex number:cos(5pi/4)+isin(5pi/4)

Find the nth roots of the complex number for the specified value of n.

Find the nth roots of the complex number for the specified value of n.2-2i, n=4
Complex Numbers Calculus

09/29/17

Find the following power. Write the answer in rectangular form. [3(cos 30 + i sin 30)]^2

I'd greatly appreciate your help. Thank you for your time. 
Complex Numbers Calculus

09/29/17

Find the quotient, and write it in rectangular form (do not factor)

(12(cos 420 + i sin 420)) / (2(cos 120 + i sin 120))   Thank you for your time. 
Complex Numbers Multiplying Standard Form

09/27/17

multiplying complex numbers

(-1+2i)(-5+3i)     having trouble on this one, please show me step by step and the answer. Thank you so much. I appreciate it     
Complex Numbers Multiplying

09/26/17

Multiplying complex numbers

Multiply    (-1+2i)(-5+3i)    Write answer as a complex number in standard form 
Complex Numbers Multiplying Multiplication

09/25/17

multiplying complex numbers

Multiply  (3-i)(6-6i)   Write answer as a complex number in standard form 
Complex Numbers Multiplying

09/25/17

multiplying complex numbers

multiply  -i(-4+4i)   write answer as a complex number in standard form 
Complex Numbers Muliplying

09/25/17

Multiplying complex numbers

Multiply  (-2 - 5i)(3+4i)   write answer as a complex number in standard form.  Thanks! :) 
Complex Numbers Algebra Maths Exponents

09/18/17

I want to express (1+i)^11 in algebric form by using the trig functions within the process...

For some reason 1+i = root 2 * e ^ pi / 4    which i dont understand how so I would like an explanation for this...
Complex Numbers Imaginary Numbers Radicals

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
Complex Numbers

08/31/17

Given that: z=tan(α)+i, where 0<α<(1/2)*pi // Find the absolute value of z in its simplest form.

Given that: z=tan(α)+i, where 0<α<(1/2)*piFind the absolute value of z in its simplest form. How the hell do I solve this?
Complex Numbers

08/31/17

if y=x²+x-4, evaluate y given x=2i

if y=x²+x-4, evaluate y given x=2i. this is the first time I have seen this so I am unsure how to proceed.
Complex Numbers Algebra Polygons

08/27/17

Perimeters of Polygons

A. Calculate the perimeter of the polygon whose vertices are the complex fourth roots of 1. B. Calculate the perimeter of the polygon whose vertices are the complex ninth roots of 1.    

08/27/17

Use an algebraic method to find the cube roots of the complex number.

Use an algebraic method to find the cube roots of the complex number:  5(cos(π/6)+isin(π /6)) The answer needs to be in a+bi form.
Complex Numbers

08/23/17

Number of distinct roots of z+modulus of z (where z is a complex number)?

How many number of distinct roots of z+modulus of z   (where z is complex number)?
Complex Numbers Algebra 2 Functions Math Help

07/26/17

Algebra 2 Help

Link : http://imgur.com/a/JZxGv   This is a 3 part question so I would be extremely grateful with you could answer the 3 parts. Thanks in advance!!
Complex Numbers

03/30/17

Suppose that the coefficients of the equation: x^(n) + [a(sub(n-1)) * X^(n-1)] + [a(sub(n-2)) * X^(n-2]... + a(sub1)) * X = 0 are real and satisfy: 1 is greate

This has something to do with complex numbers. I'm not sure what exactly.
Complex Numbers

03/30/17

if theta is a constant such that 0 < theta < pi and x + 1/x = 2 cos(theta), then for each positive integer n, find x^n + 1/(x^n) in terms of n and theta.

This has to do with the number theory and/or complex numbers. I am completely lost on this question.
Complex Numbers

03/22/17

Solve for x and y

[(x+yi)2]-2(x-yi)+6=2-i

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