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MMO 180 Moscow MO 1950\sqrt{x+3−4\sqrt{x−1}}+\sqrt{x+8−6\sqrt{x−1}}=1

Source:

August 6, 2019
equationradicalalgebra

Problem Statement

Solve the equation x+3−4x−1+x+8−6x−1=1\sqrt {x + 3 - 4 \sqrt{x -1}} +\sqrt{x + 8 - 6 \sqrt{x - 1}}= 1.
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