SOLUTION: If 2 times a number is decreased by 9, the principal square root of this difference is 6 less than the number. Find the numbers (s)

Question 1171541: If 2 times a number is decreased by 9, the principal square root of this difference is 6 less than the number. Find the numbers (s)

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If 2 times a number is decreased by 9, the principal square root of this difference is 6 less than the number.
Find the numbers (s)
:
The way I see this

square both sides

FOIL (n-6)(n-6)

combine like terms on the right

a quadratic equation

Factors to
(n-5)(n-9) = 0
Two solutions
n = 5
n = 9
Check both in the original equation

and

I think the only real solution is n=9

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