Question

equações irracionais me ajudem

Answer 1

ta ai espero ter ajudado

Answer 2

Vamos elevar ao quadrado nos dois lados, até sumir a raiz.

$( \sqrt{6+\sqrt{x+6}-\sqrt{x-3}}})^2 =3^2\\\\\ 6+\sqrt{x+6}-\sqrt{x-3}}=9\\\\\ (\sqrt{x+6}-\sqrt{x-3}})^2=3^2\\\\\ x+6+\sqrt{x-3}=9\\\\\ \sqrt{x-3} = (3-x)^2\\\\ x-3=9-6x+x^2\\\\ x^2-7x+12=0$

$\Delta=49-48\\\\\ \boxed{\Delta=1}\\\\\ x'=4\\\\ x''=3\\\\\ \boxed{S(3,4)}$