SOLUTION: x/x+8 - 8/x-8 = x^2+64/x^2-64
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Question 450156: x/x+8 - 8/x-8 = x^2+64/x^2-64
Answer by poliphob3.14(115) (Show Source): You can put this solution on YOUR website!
First we find the LCD. In our case is .
Second we find the values of x for which the denominator is zero:
Solve the equation:, setting to zero each factor and get:
x=8 and x=-8. These values can't be roots for our equation. Now solve the equation:
, multiply both sides by (x-8)(x+8)
=>=>=>x=-8.
We reject this root and say that the equation doesn't have solution on the real numbers set.
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