Question

The sum of two integers is 8 and their product is -20.What are the integers?​

Answer 1

Answer:

The answer to your question is

x = -2 and y = 10     or   x = 10 and y = -2

Step-by-step explanation:

          x + y = 8   (1)      from (1)    x = 8 - y

         xy = - 20    (2)

       

Solve them by substitution

      (8 - y) y = - 20

      8y - y² = -20

      y² - 8y - 20 = 0

   ( y - 10) (y + 2) = 0

    y - 10 = 0              and      y + 2 = 0

    y1 = 10                               y2 = -2

 x1 = 8 - 10                             x2 = 8 - -2

 x1 = -2                                   x2 = 10