Which two numbers add up to - 10 and multiply to 24

If our two numbers are x and y, we can write two equations.

x + y = - 10

xy = 24

Then, we can solve.

x = - 10 - y

(-10 - y) * y = 24

-10y - y^2 = 24

0 = y^2 + 10y + 24

0 = y^2 + 6y + 4y + 24

0 = y (y + 6) + 4 (y + 6)

0 = (y + 6) (y + 4)

So, y can be either - 6 or - 4. Now, notice that if y is - 6, x is - 4, and if y is - 4, x is - 6. This is because there were no provided discrepancies between the two numbers.

Anyways, our numbers will be - 6 and - 4.