Question

Qual e a equação irracional $\sqrt{x}$-1 = 3 - X

Answer 1

$\sqrt{x -1}=3-x \\ (\sqrt{x -1})^2=(3-x)^2 \\ x-1=9-6x+x^2 \\ x^2-7x+10=0 \\ \Delta=(-7)^2-4.1.10=49-40=9 \\ x=\frac{7+-\sqrt9}{2}=\frac{7+-3}{2} \\ x_1=2 \\ x_2=5$