Introductory Olympiad Algebra - Nested Square Roots Disappear

Algebra Level 4

Find the domain of all real numbers xx such that

x+6−4x+2+x+11−6x+2=1. \sqrt{ x + 6 - 4 \sqrt{ x+2} } + \sqrt{ x+11 - 6 \sqrt{x+2}} = 1.

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Calvin Lin by Calvin Lin
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