Solving for a variable in a quadratic fraction polynomial.
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Solve for x:
6/(x^2-7x+6)=2/(x-1)-4/(x-6)
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Solution Summary
A variable in a quadratic fraction polynomial is solved. A variable in a quadratic fraction polynomial is examined.
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Start with
6/(x^2-7x+6)=2/(x-1)-4/(x-6)
Now we want to bring the fractions to a common denominator. First notice that
(x-1)(x-6) = x^2-x-6x+6 = x^2-7x+6
So
6/(x^2-7x+6) = ...
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