Solve the following equation and show all the steps to solving.

1 answer:

8 0

$\bf \cfrac{x}{x-2}+\cfrac{x-1}{x+1}=-1\impliedby LCD\to (x-2)(x+1)\\\\
-------------------------------\\\\
\cfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=-1
\\\\\\
x^2+x+x^2-3x+2=-1(x-2)(x+1)
\\\\\\
2x^2-2x+2=-1(x^2-x-2)\implies 2x^2-2x+2=-x^2+x+2
\\\\\\
3x^2-3x=0\implies 3x(x-1)=0\implies 
\begin{cases}
3x=0\implies &x=0\\
x-1=0\implies &x=1
\end{cases}$

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Learn more about area of a triangle here: brainly.com/question/23945265

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