What is x/(sqrt(x^2-4)) ?

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

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simplify x/(sqrt(x^2-4))

simplify

\frac{x}{x ^{2} - 4}

\frac{x x ^{2} - 4}{x ^{2} - 4}

Solution steps

\frac{x}{x ^{2} - 4}

Multiply by the conjugate

\frac{x ^{2} - 4}{x ^{2} - 4}

= \frac{x x ^{2} - 4}{x ^{2} - 4 x ^{2} - 4}

x^{2} - 4 x^{2} - 4 = x^{2} - 4

= \frac{x x ^{2} - 4}{x ^{2} - 4}

2 (\frac{x + 5}{2}) - 5

(\frac{5}{4} + \frac{3}{4} i)^{2}

\frac{4 x ^{2} - 25}{2 x ^{2} - x - 10}

x x^{2}

(2 a + 5)^{2}

What is x/(sqrt(x^2-4)) ?
The solution to x/(sqrt(x^2-4)) is (xsqrt(x^2-4))/(x^2-4)