Question

Raiz quadrada se 3x+1 menos a raiz quadrada de x+4 é igual a 1

Answer 1

$\sqrt{3x+1}+\sqrt{x+4}=1\\\\\sqrt{x+4}=1-\sqrt{3x+1}\\\\(\sqrt{x+4})^2=(1-\sqrt{3x+1})^2\\\\x+4=1-2\sqrt{3x+1}+3x+1\\\\2x-2=2\sqrt{3x+1}\\\\x-1=\sqrt{3x+1}\\\\(x-1)^2=(\sqrt{3x+1})^2\\\\x^2-2x+1=3x+1\\\\x^2-5x=0\\\\x=0\\\\x-5=0\\\\x=5$

Nenhum dos resultados funciona quando testado, logo nao existe solucao.