# complex numbers!

12,964 results

### math-complex numbers

Sketch the sets of complex numbers in the complex plane that satisfy the following: a) |z-1|=2 b) |z-3i|=2 c) |z-5+2i|=2 I'm not sure, but are you supposed to rearrange the whole thing to |z|=a+bi? So, part b would be |z|=2+3i.

### Math

I am in the 5th grade and my homework tonight is about complex numbers. I have no idea how to do complex numbers, not to mention, I don't know what they are. Can you help me?

### Pre-cal

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help?

### Precalculus

Let z and w be complex numbers such that |2z - w| = 25, |z + 2w| = 5, and |z + w| = 2. Find |z|. I need a little help with absolute values on complex numbers.

### Math (Complex Numbers)

Let a,b,c be complex numbers satisfying a+b+c=abc=1 and (ab+bc+ac)/3=(1/a^2)+(1/b^2)+(1c^2) The sum of absolute values of all possible ab+bc+ac can be written as (√n)/m, where n and m are positive coprime integers. What is n+m?

### Complex Numbers

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

### Complex Numbers

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

### Precalc

To which set(s) of numbers does the number sqrt -16 belong? Select all that apply. real numbers complex numbers*** rational numbers imaginary numbers*** irrational numbers I can only pick two, and that's what I think it is. Please check? Thanks

### Complex Numbers

The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i| = \sqrt{38} has two solutions z1 and z2 in complex numbers. Find (z1 + z2)/2. Im really just plain old confused. Could anyone help me out?

### Math

Complex Numbers please helpppppp and show solutions 1.) (3-7i) + (-1-2i) 2.) (4-5i) - (2-3i) 3.) (7-5i) + (6+9i) 4.) 2+3i/3-5i

### English

Choose the term that best describes the underline term. 1. The toy "that Fido loves to chew" is made by hand. a. noun clause b. direct clause c. adverb clause d. adjective clause** Choose the term that describes the sentence shown. 1. If you fail to plan, you plan to fail. a. ...

### Math

Use the quadratic formula to solve the equation. x² - x = -2 Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

### calculus

find the modulus and the argument of the following complex numbers: 15-4i and a-ai where a is greater than 0

### math

Simplify the following quotient of complex numbers into the form a + bi. -8-8i/1+2i

### algebra

Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36

### algebra2

simplify the following quotient of complex numbers into the form of a+bi -9+8i/1+2i

### Math

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

### Precalculus

Let z and w be complex numbers such that |z| = |w| = 1, and zw is not equal to -1. Prove that (z + w)/(zw + 1) is a real number.

### Algebra 2

Complex numbers are written in the form a + bi. What does i represent? -1 0 1 sqrt-1 **my choice

### English

Is this sentence compound, complex, or compound complex? Charity groups distributed food and safe drinking water, and they handed out sleeping bags and mosquito nets, which were needed in the tropical climate. Is this compound complex?

### English

Please check my work. Identify whether each sentence is complex, an exclamation, declarative, or interrogative. 1. Tim likes soup, so Mary bought tomatoes. Complex 2. Oh no! Exclamation 3. Do you want to play in the Garden? Interrogative 4. In the story, the author told how ...

### English

Please check my work. Identify whether each sentence is complex, an exclamation, declarative, or interrogative. 1. Tim likes soup, so Mary bought tomatoes. ----- Complex 2. Oh no! ----- Exclamation 3. Do you want to play in the Garden? ----- Interrogative 4. In the story, the ...

### Algebra II

Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36 HELP ME PLEASE!