Question

If
$\sqrt{x} + \sqrt{x - \sqrt{1 - x} } = 1$

then x is equal to
​

Answer 1

Answer:

Step-by-step explanation:

√x +√(x -√(x-1)) = 1

√(x -√(x-1)) = 1-√x

Square both sides

x - √(x-1) = 1-2√x+x

- √(x-1) = 1-2√x

Square both sides

x-1 = 1-4√x+4x

-5x = -4√x

Square both sides

25x² = 16x

x = 16/25.

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