SOLUTION: Solve the equation 3x+1/x+1 + 2x-1/x-1=1.
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Question 986000: Solve the equation 3x+1/x+1 + 2x-1/x-1=1.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The two denominators have no common factors, hence the lowest common denominator is the product of the two denominators.
(x\ -\ 1)}{x^2\ -\ 1}\ +\ \frac{(2x\ -\ 1)(x\ +\ 1)}{x^2\ -\ 1}\ =\ 1)
Multiply both sides by the denominator in the LHS.
Collect like terms and put them in the LHS
Solve the quadratic. It doesn't factor so use the Quadratic Formula.
John
My calculator said it, I believe it, that settles it
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