what two numbers you multiply to get -24 but add up to 10

Question

two numbers you multiply to get -24 but add up to 10

Answer 1

x + y = 10 and xy = -24

Since xy = -24, y = -24/x.

So, x - 24/x = 10

x² - 24 = 10x

x² - 10x - 24 = 0

(x - 12)(x + 2) = 0

So, x = 12 or -2

The numbers are 12 and -2.