What is 1/(sqrt(x^2-2x)) ?

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

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simplify 1/(sqrt(x^2-2x))

simplify

\frac{1}{x ^{2} - 2 x}

\frac{x ^{2} - 2 x}{x ^{2} - 2 x}

Solution steps

\frac{1}{x ^{2} - 2 x}

Multiply by the conjugate

\frac{x ^{2} - 2 x}{x ^{2} - 2 x}

= \frac{1 \cdot x ^{2} - 2 x}{x ^{2} - 2 x x ^{2} - 2 x}

1 \cdot x^{2} - 2 x = x^{2} - 2 x

x^{2} - 2 x x^{2} - 2 x = x^{2} - 2 x

= \frac{x ^{2} - 2 x}{x ^{2} - 2 x}

2 \times \frac{1}{10}

- 16 t^{2} + 124 t - 108

- x^{2} + 3 x + 10

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