Answer: The two numbers are -16 and -2
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Step-by-step 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
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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