Simplify (x^2+2 x+y^2)/(x^3-5 x^2) if x+(y^2)/x=5.

Simplify $\frac{x^2+2 x+y^2}{x^3-5 x^2}$ 

If $x+\frac{y^2}{x}=5$

then x² + y² = 5x put in $\frac{x^2+2 x+y^2}{x^3-5 x^2}$ 

= $\frac{5x +2 x}{x(x^2-5 x)}$ 

= \(\frac{5x +2 x}{x(x^2-x^2 + y^2)}\)

= \(\frac{7x}{-xy^2}\) = $-\frac{7}{y^2}$