Question

Jasmine is working on the following problem: Suppose z1 = 4 + Ci and z2 = 3 – 8i. Suppose also that 21 · 22 = 52 - 17i. What is the value of c?

a) 5
b) -7
c) -9
d) 3

Answer 1

To find the value of c, solve the equation 21 · 22 = 52 - 17i. The value of c is -389/17.

Step-by-step explanation:

To find the value of c, we need to solve the equation 21 · 22 = 52 - 17i. Let's break down the equation:

21 · 22 = 52 - 17i

This can be simplified to:

441 = 52 - 17i

Now, let's isolate the imaginary part of the equation:

-17i = 441 - 52

-17i = 389

To solve for i, we divide both sides by -17:

i = -389/17

So, the value of c is -389/17. Therefore, the correct answer is (b) -7.