What are the roots of the equation x ^2+ 6x + 8 = 0?

Question

asked Nov 12, 2021 129k views

1 Answer

Renwick · Answer 1 · 2021-11-16T22:24:08+0000

Hi there! :)

Answer:

$\huge\boxed{x = -4, -2}$

x² + 6x + 8 = 0

Factor the equation by finding two numbers that sum up to 6 and multiply into 8:

4 + 2 = 6

4 ×2 = 8

Rewrite in factored form:

(x + 4) (x + 2) = 0

Find the roots using the Zero-Product Property:

x + 4 = 0

x = - 4

x + 2 = 0

x = -2.

Therefore, the roots of this equation are at x = -4 and -2.