Question

1/x-1+1/x+4=2/x^2-1

Answer 1

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Answer 2

combine fractions on left side, factor denominator on right side

\[\frac{(x+4) +(x-1)}{(x-1)(x+4)} = \frac{2}{(x-1)(x+1)}\]
cancel like term in denominator and simplify
\[\frac{2x+3}{x+4} = \frac{2}{x+1}\]
cross-multiply and solve for x