SOLUTION: Eight less than 9 time a number is the same as the square of the number. Find the number.

Question 1018929: Eight less than 9 time a number is the same as the square of the number. Find the number.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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Eight less than 9 time a number is the same as the square of the number. Find the number.
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Your equation is 

 = .    (1)


Simplify and solve it:

 = 

Factor left side:

(x-1)*(x-8) = 0,

The roots qre x = 1 and/or x = 8.

Check. x = 1:  9x - 8 = 1.   = 1.  Equality (1) is valid.

        x = 8:  9x - 8 = 64.   = 64.  Equality (1) is valid.

Answer. The number is 1 or 8.

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