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

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

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

simplify

\frac{x}{( a - a ^{2} - x ^{2} )}

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

Solution steps

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

Multiply by the conjugate

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

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

(a - a^{2} - x^{2}) (a + a^{2} - x^{2}) = x^{2}

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

Cancel the common factor:

x

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

- 3.2 - 5 x - 2

(x + 2 y)^{3} + 512

5.8 x \cdot 105 \cdot 4 \cdot 3 \cdot 1064

z^{4} + (- 24) z^{2} + 400

\frac{\frac{x}{x}}{6} + \frac{x}{24}

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