$x^{4}+2x^{3}+2x^{2}-2x+1=(x^3+x)\sqrt{\frac{1-x^{2}}{x}}$
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Posted 03-03-2014 - 20:58
conan98md
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dk: 0<x< 1
pt $\Leftrightarrow$ $(x^{2}+1)-2x(1-x^{2})=(x^{2}+1)\sqrt{x(1-x^{2})}$
$\Leftrightarrow \frac{1+x^{2}}{\sqrt{x(1-x^{2})}}-\frac{2\sqrt{x(1-x^{2})}}{x^{2}+1}=1$
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