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

-8 and 7

Step-by-step 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.

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step-by-step explanation: