Question

√x + 1 =  x + 3 (eq. irracional) Somente o X está dentro da raiz.

Answer 1

Olá Daran,

$\sqrt{x} +1=x+3\\ \sqrt{x} =x+3-1\\ \sqrt{x} =x+2\\ ( \sqrt{x} )^2=(x+2)^2\\ x=x^2+2*x*2+2^2\\ x= x^{2} +4x+4\\ x^{2} +4x-x+4=0\\ x^{2} +3x+4=0\\\\ \Delta=b^2-4ac\\ \Delta=3^2-4*1*4\\ \Delta=9-16\\ \Delta=-7~~~~\Delta<0~~\therefore~~\Delta\notin \mathbb{R}\\\\ \boxed{S=\{\emptyset\}}$

Tenha ótimos estudos =))