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Introductory Olympiad Algebra - Nested Square Roots Disappear

Algebra Level 4

Find the domain of all real numbers $x$ such that

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

[2, 7 ]

(2, 7)

\{2, 7 \}

\{ 2, 3, 4, 5, 6, 7 \}

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by Calvin Lin

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