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

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

-2-2√3, -2+2√3

Step-by-step explanation:

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

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

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