Question

Find the solution set. Separate the two calues with a comma: x^2+6x+8=0

Answer 1

x^2 + (m+n)x + (mn) = 0 is the setup we need to find m and n

Answer 2

m and n are factors of 8; 1(8); 2(4)

m+n are the two factors of 8 that add up to 6

1+8 = 9
2+4 = 6

Answer 3

use the quadratic formula:
\[x = -3 \pm \sqrt{9-8} = -3 \pm 1 =(-4,-2)\]

Answer 4

(x+m)(x+n) = 0

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

Answer 5

Thanks XaLeX