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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.