[tex] \frac{-1}{1-x} + \frac{1}{(1-x)^2} - \frac{2(1-x)^2}{(1-x)^2}=0\\
\frac{x-1}{(1-x)^2} + \frac{1}{(1-x)^2} - \frac{2(1-x)^2}{(1-x)^2}=0\\
\frac{x-2+4x-2x^2}{(1-x)^2}=0\\
\frac{-2x^2+5x-2}{(1-x)^2}=0 [/tex]
Conditia de existenta a fractiei - numitorul diferit de 0:
(1-x)² ≠ 0 ==> x ≠ 1
[tex]-2x^2+5x-2 = 0\\
\Delta=25-16=9 \rightarrow \sqrt{\Delta}=3 \\
x_{1,2}= \frac{-5\pm3}{-4} [/tex]
Solutiile sunt 1/2 si 2
