The Quadratic Formula: Using fractions

Solve the following equation:

$\frac{1}{(x-2)^2}+\frac{1}{x-2}=1$

$\frac{1}{2}[5\pm\sqrt{5}]$

Solve the following equation:

$\frac{x^3+1}{(x-1)^2}=x+4$

$x=3,\frac{1}{2}$

$\frac{(\frac{1}{x}+\frac{1}{2})^2}{(\frac{1}{x}+\frac{1}{3})^2}=\frac{81}{64}$

Find X

$x=1,-\frac{17}{7}$

Solve the following equation:

$\frac{(2x-1)^2}{x-2}+\frac{(x-2)^2}{2x-1}=4.5x$

$$$-1\pm\sqrt{3}$

Solve the following equation:

$\frac{x^3+1}{(x+1)^2}=x$

$x=\frac{1}{2}$