Find two integers whose sum is -5 and product is -14

Answer 1

Let x = the first integer and y = the second integer.

Then we have x + y = -5 and x y = -14 Then substituting

y = -x - 5 into the second equation yields

x ( -x - 5 ) = -14 or -x² - 5x = -14 Multiplying by -1 and setting equal to zero

x² + 5 x -14 = 0 Factoring we have

( x + 7 ) ( x - 2 ) = 0 or x = -7 and x = 2

Check -7 + 2 = -5 and ( -7 ) ( 2 ) = -14