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Solution assignment 08 Equations with fractions

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Assignment 8

Solve:

\displaystyle\frac{x^2-1}{x}-\displaystyle\frac{x+1}{2}=0

Solution

Cross-multiplication yields:

2(x^2-1)-x(x+1)=0

x^2-x-2=0

The left-hand side of this equation can be factorized:

(x-2)(x+1)=0

and thus the solutions are:

x=2 or x=-1

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