Question

RESOLVA A EXPRESSÃO - 50 PONTOS

$(\sqrt{X+4}- \sqrt{X-5}) ^{2} = 1$

Answer 1

$(\sqrt{x+4}-\sqrt{x-5})^2=1\\ \\ x+4+x-5-2\sqrt{(x+4)(x-5)}=1\\ \\ 2\sqrt{(x+4)(x-5)}=2x-2\\ \\ (2\sqrt{(x+4)(x-5)})^2=(2x-2)^2\\ \\ 4(x+4)(x-5)=(2x-2)^2\\ \\ 4 x^2-4 x-80=4x^2-8x+4\\ \\ 4x=84\\ \\ x=21$