Question

Find two integers whose sum is -23 and product is 132

Answer 1

Explanation:

Let x and y be two integers

x * y = 132

x + y = -23

x= -23 - y

y(-23 - y) = 132

-23y - y^2 = 132

y^2 +23y + 132 = 0

(y + 11) (y + 12) = 0

y = -11 or - 12

If y = -11 then x + (-11) = -23 -> x = -12

If y = -12 then x + (-12) = -23 -> x = -11

So the two integers are -11 and -12