an integer is 19 more than 2 times another if the product of the two integers is -44 then find the integers

Question

an integer is 19 more than 2 times another if the product of the two integers is -44 then find the integers

Answer 1

Let x = the smaller integer

Let 2x + 19 = the larger integer

x(2x + 19) = -44

2x² + 19x + 44 = 0

(2x + 11)(x + 4) = 0

2x + 11 = 0 and x + 4 = 0

2x = -11 and x = -4

x = -11/2, not an integer

2x + 19 = 2(-4) + 19 = -8 + 19

x = 11

The two integers are -4 and 11.