Question 1057512
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Solve (1-x)/(2+x) = (x-2)/(x+1)

Thanks so much!
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<pre>
Cross-multiply (or, in other words, multiply both sides by (2+x)*(x+1)) to rid of the denominators. You will get

(1-x)*(x+1) = (x-2)*(2+x).

Simplify:

1 - x^2 = x^2 - 4,

1 + 4 = x^2 + x^2,

5 = 2x^2,

x^2 = {{{5/2}}}  --->  x = +/- {{{sqrt(5/2)}}} = +/- {{{sqrt(10)/2}}}.

<U>Answer</U>.  x = +/- {{{sqrt(10)/2}}}.
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