Which are two numbers whose product is -60 and addition or subtraction is -17?

1 Answer
Jun 13, 2018

One solution is (3, -20)

Another solution is (-20, 3)

Explanation:

x+y=-17

x*y=-60

Use substitution:

x=-17-y

(-17-y)*y=-60

-17y-y^2=-60

y^2+17y-60=0

factor:

(y + 20) (y - 3)=0

y=-20 or y=3

solve x values:

x+y=-17

x-20=-17

x=3

One solution is (3, -20)

x+3=-17

x=-20

Another solution is (-20, 3)