Square Root Problem.

Algebra Level 2

What is the value of x = ? x=? x = x 2 + 2018 x 2 + 2018 x = \sqrt{x^2 + \sqrt{2018-\sqrt{x^2 + \sqrt{2018 - \ldots }} }}


The answer is 2018.

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1 solution

Blan Morrison
Sep 29, 2018

x = x 2 + 2018 x x=\sqrt{x^2+\sqrt{2018-x}} 0 = 2018 x 0=\sqrt{2018-x} x = 2018 x=\boxed{2018}

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