Find two numbers that have a product of 32 and also have a sum of -18

Explanation:

To find this answer, you use guess and check as one approach. We can see that:

-16 plus -2 = -18

-16 times -2 = 32

Confirming the answer

Another approach is to use the quadratic formula to solve this equation

x^2 - 18x + 32 = 0

note how -18 is the middle coefficient and 32 is the last term

When you solve for x, you should get the two solutions x = 16 and x = 2 as the two roots

Turn x = 16 into x-16 = 0 by subtracting 16 from both sides

Turn x = 2 into x-2 = 0 following the same basic idea

So we have the two equations x-16 = 0 and x-2 = 0

which combine to get (x-16)(x-2) = 0 through the zero product property

thus showing that the two numbers are -16 and -2

d

step-by-step explanation: