What is x/(2-sqrt(x)) ?

The solution to x/(2-sqrt(x)) is (x(2+sqrt(x)))/(4-x)

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simplify x/(2-sqrt(x))

simplify

\frac{x}{2 - x}

\frac{x ( 2 + x )}{4 - x}

Solution steps

\frac{x}{2 - x}

Multiply by the conjugate

\frac{2 + x}{2 + x}

= \frac{x ( 2 + x )}{( 2 - x ) ( 2 + x )}

(2 - x) (2 + x) = 4 - x

= \frac{x ( 2 + x )}{4 - x}

\frac{d y}{d x} = 5 (1 - \frac{x}{10})

\int_{- 2}^{0} - x + 2 d x

\int - 20 x^{- 5} d x

\frac{d y}{d x} = e^{y - x}

\frac{d}{d x} (x^{2} (x + 1))