Brainiest to whoever gets this right first! 20 points!

The roots of the quadratic equation $z^2 + az + b = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $a+b$?

You know the roots to the quadratic, so you know how the quadratic can be factorized:

Expanding the right side gives

Matching up the coefficients tells us and , so .

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

a

step-by-step explanation: