SOLUTION: twice a number is 8 less than its square. what is the number?

Question 50015: twice a number is 8 less than its square. what is the number?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the required number(s) be n.
From the problem description, you can write:
Subtract 2n from both sides.
Solve by factoring.
Apply the zero product principle.
and/or
If then
If then
There are two solutions to this problem:
n = -2 and
n = 4
Check:
n = -2

n = 4

Both solutions work.
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