Question

What two numbers multiply to get -8 and add to get 4?

Answer 1

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3