Question

The sum of two integers is -1 the product of these integers are -56 what are the integers?​

Answer 1

-8 and 7

Explanation:

hope this helps

Answer 2

-8 and 7

Explanation:

Let the integers be x and y.

Then, we have two conditions:

(1) x + y = -1

(2) xy = -56

(3) y = -x -1 Subtracted y from each side of (1)

(4) x(-x -1) = -56 Substituted (3) into (2)

-x² - x = -56 Distributed x

x²+ x = 56 Multiplied each side by -1

x²+ x - 56 = 0 Subtracted 56 each side

(x+8)(x - 7) = 1 Factored the quadratic

x + 8 = 0 x - 7 = 0

x = -8

For x = -8,

-8 + y = -1

y = 7

For x = 7,

7 + y = -1

y = -8

The pair of integers is -8 and 7.