Question

An integer is 8 more than 5 times another. If the product of the two integers is 36, then find the integers

Answer 1

see below

Explanation:

1st: x

2nd: 5x + 8

x(5x + 8) = 36

5x² + 8x = 36

5x² + 8x - 36 = 0

(x - 2)(5x + 18) = 0

(x - 2) = 0

x - 2 = 0

x = 2

1st: x = 2

2nd: 5x + 8 = 5(2) + 8 = 18

(5x + 18) = 0

5x + 18 = 0

5x = -18

x = -3.6

1st: x = -3.6

2nd: 5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10