Find two consecutive negative integers whose product is 90

-10, - 9

Step-by-step explanation:

Let x = first negative answer

then

x+1 = second negative answer

x (x+1) = 90

x^2 + x = 90

x^2 + x - 90 = 0

(x+10) (x-9) = 0

x = (-10, 9)

Since we're looking for a negative answer, throw out the positive answer leaving:

x = - 10 (first negative number)

.

Second negative number"

x+1 = - 10+1 = - 9