Question

Quanto é: raiz de x+9 = 2+raiz
de x-3 (EQUAÇÃO IRRACIONAL)

Answer 1

Prezada.

Calculando:

$\boxed{\sqrt{x+9} = 2+ \sqrt{x-3}} \\ \\ \\ (\sqrt{x+9} = 2+ \sqrt{x-3})^2 \\ x+9= 4+2*2*( \sqrt{x-3}) +(\sqrt{x-3} )^2 \\ x+9= 4+4 \sqrt{x-3} +x-3 \\ x-x+9-4+3= 4 \sqrt{x-3} \\ 9-4+3= 4 \sqrt{x-3} \\ 8= 4* \sqrt{x-3} \\ \frac{8}{4} = \sqrt{x-3} \\ (2= \sqrt{x-3}) ^2 \\ x-3= 4 \\ x= 4+3 \\ \boxed{\boxed{x= 7}}$

.: Qualquer dúvida me consulte.