What is 1/(x-3sqrt(x)) ?

The solution to 1/(x-3sqrt(x)) is (x+3sqrt(x))/(x^2-9x)

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simplify 1/(x-3sqrt(x))

simplify

\frac{1}{x - 3 x}

\frac{x + 3 x}{x ^{2} - 9 x}

Solution steps

\frac{1}{x - 3 x}

Multiply by the conjugate

\frac{x + 3 x}{x + 3 x}

= \frac{1 \cdot ( x + 3 x )}{( x - 3 x ) ( x + 3 x )}

1 \cdot (x + 3 x) = x + 3 x

(x - 3 x) (x + 3 x) = x^{2} - 9 x

= \frac{x + 3 x}{x ^{2} - 9 x}

x + 1 \times x

2 x + 2 x - 2 x

x \to \infty lim (\frac{x}{x})

lo g_{0.25} (2)

x \times (- 2) x

What is 1/(x-3sqrt(x)) ?
The solution to 1/(x-3sqrt(x)) is (x+3sqrt(x))/(x^2-9x)