167 Answered Questions for the topic Complex Numbers

Complex numbers problem

Hi, what is the best way to rationalize the denominator and simplify the following: 2-3i/4+3iThanks!

Help with geometry problem

Let $ABC$ be a triangle. Points $A_1, B_1, C_1$ are, respectively, on sides $BC, AC, AB$ and:$\frac{AC_1}{C_1B} = \frac{BA_1}{A_1C} = \frac{CB_1}{B_1A} eq 1$If $\frac{AB}{A_1B_1} =... more

10/11/19

Complex Zeros: Find the remaining zeros of f

I just need one of my homework questions explained, because I really don’t understand... ”Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the... more

10/08/19

Three complex numbers z1, z2 and z3 all have the same magnitude. Given the three numbers form the vertices of an equilateral triangle on an argand diagram, find each complex number.

The complex numbers are spaced evenly around the argand diagram Give your answer in the form a+bi

10/08/19

(a+bi)(c+di)=(3+36i) - Complex Numbers Equation Help

I got no solution for this question but apparently it isn't right:Directions: Find Integers a,b,c,d such that: (a+bi)(c+di)=(3+36i)

05/27/19

Finding the complex roots of a polynomial of the fourth degree.

I was working throught a question in my math book to which I found an answer, but an incorrect one. I was hoping that you guys could help me find the error in my calculations. Question: The... more

05/23/19

√(-3) × √(-3) = -3 why not 3

√(-3) × √(-3) = -3or√(-3) × √(-3) = √(-3×-3)=√9=3

03/29/19

Pre-Calc: A polynomial with a specified complex zero

Hello! I am currently stuck on a homework question and I keep getting it wrong. Here is what the question is asking: Find a polynomial with integer coefficients that satisfies the given... more

03/21/19

consider the following quadratic equation

-4x^2 +bx-11=0Determine a possible value of b so that the quadratic has two complex solutions.A.)14B.)-16C.)-14D.)12

03/16/19

Do the solutions of x^2 - 10ix - 29 = 0 which are (5i - 2) and (5i + 2) satisfy the conjugate root theorem?

So for a Math assignment I have been posed with the question why do the two solutions above satisfy the conjugate root theorem? can any one please help because I can't come up with a proper... more

03/15/19

The zeros of P(x)=x^2+4 are (and multiplicity)

The zeros of P(x)=x^2+4 are x1= ……. + ………. i with negative imaginary part,it's multiplicity is ………… ; and x1= ……. + ………. i with positive imaginary part,it's multiplicity is ………… .thanks a lot

03/14/19

What is the "standard basis" for fields of complex numbers?

What is the "standard basis" for fields of complex numbers? For example, what is the standard basis for $\\Bbb C^2$ (two-tuples of the form: $(a + bi, c + di)$)? I know the standard for $\\Bbb... more

03/10/19

Subtract the radical expressions. Assume that all variables represent positive real numbers.

Subtract the radical expressions. Assume that all variables represent positive real numbers.          A. It can't be simplified further.   B.    C.    D.   

03/09/19

Add or subtract the radical expressions as indicated, if possible.

Add or subtract the radical expressions as indicated, if possible.          A. 111m√ 5    B. 111m2√ 5    C. It can't be simplified further.   D. 21m2√ 5   

03/09/19

Subtract the radical expressions. Assume that all variables represent positive real numbers.

Subtract the radical expressions. Assume that all variables represent positive real numbers.          A. It can't be simplified further.   B.    C.    D.   

03/09/19

Divide the complex numbers. Write the answer in the form a + bi.   

Divide the complex numbers. Write the answer in the form a + bi.           A.    B.    C.    D. 

03/09/19

Form a polynomial f(x) with real coefficients

Degree:5 Zeroes: 7; - i; 7+i

01/15/19

how do i write (1/a+bi) in a+bi form?

10/13/18

A "Complex Number" equation problem

How can I solve this? It's a complex number equation: 2z^5 + z^4 - 6z^2 + z + 1 = 0

08/20/18

It’s about sat

(3+i)/(2-i)     Multiply (a+bi) = 1   in the equation above a and b are constants .if i =√-1 what is the value of a ? 

08/13/18

What are values of P such that P/P +1/P <1

what are values of P such that P+1⁄P < 1

06/26/18

Prove that the statements|z+ 1|>|z−1|and Re(z)>0 are equivalent.

Please show step by step.
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