Beforehand

Algebra Level 4

You've probably already seen this problem many times before, but I'm asking you to solve it again. Solve the following equation:

a + x a + a + x + a x a a x = a \large \dfrac{a + \sqrt x}{\sqrt a + \sqrt{a + \sqrt x}} + \dfrac{a - \sqrt x}{\sqrt a - \sqrt{a - \sqrt x}} = \sqrt a

If x = y a 2 x = ya^2 , calculate y y .


The answer is 0.75.

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