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# Solve the equation 5/(1+x)-3/(1-x)-6/(x-x^2)=0

### Videos

$x_1=-0.618,\:x_2=1.618$

## Step-by-step explanation

Problem to solve:

$\frac{5}{1+x}-\frac{3}{1-x}-\frac{6}{x-x^2}=0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=-1$, $b=1$ and $c=1$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x_1=-0.618,\:x_2=1.618$
$\frac{5}{1+x}-\frac{3}{1-x}-\frac{6}{x-x^2}=0$