Question

Resolva a equação irracional:
√1+x + √1-x=2

Answer 1

$\sqrt{1 + x} + \sqrt{1 - x} = 2 \\\\ {( \sqrt{1 + x}) }^{2} = {(2 - \sqrt{1 - x} )}^{2} \\\\ 1 + x = 4 - 4 \sqrt{x - 1} + x + 1 \\\\ 4 \sqrt{1 - x} = 4 \\\\ \sqrt{1 - x} = 1 \\\\ 1 - x = 1 \\\\ \boxed{ x = 0}$