Here Comes My New Year Problem

Algebra Level 2

What is the value of x = ? x=? x = x 2 + 2019 − x 2 + 2019 − … x = \sqrt{x^2 + \sqrt{2019-\sqrt{x^2 + \sqrt{2019 - \ldots }} }}


The answer is 2019.

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Parth Sankhe
Jan 2, 2019

You can rewrite the expression as x = x 2 + 2019 − x x=\sqrt {x^2+\sqrt{2019-x}}

Square this equation on both sides and the answer should be pretty clear

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