Question

Rad(x^2+x+3)=x+1 apartine Q.

Answer 1

Răspuns:

$x=2$

Explicație pas cu pas:

$\sqrt{x^{2} +x+3} =x+1$

$(\sqrt{x^{2} +x+3} )^{2} =(x+1)^{2}$

$x^{2} +x+3=x^{2} +2x+1$

$x^{2} +x+3-(x^{2} +2x+1)=0$

$x^{2} +x+3-x^{2} -2x-1=0$

$-x+2=0$

$-x=-2 \Rightarrow \boxed{x=2}$