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

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Question 1018929: Eight less than 9 time a number is the same as the square of the number. Find the number.
Answer by ikleyn(52787) About Me  (Show Source):
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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 

9x+-+8 = x%5E2.    (1)


Simplify and solve it:

x%5E2+-+9x+%2B+8 = 0

Factor left side:

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

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

Check. x = 1:  9x - 8 = 1.  x%5E2 = 1.  Equality (1) is valid.

        x = 8:  9x - 8 = 64.  x%5E2 = 64.  Equality (1) is valid.

Answer. The number is 1 or 8.