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

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

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simplify x/(sqrt(x^2)-\sqrt{x^2-1)}

simplify

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

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

Solution steps

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

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

i^{2} - 7

10 x^{2} - 4 x + 10

- 3 x^{2} + 9 x + 30

\frac{96}{18}

\frac{1}{\frac{1}{20}}

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