Question

Answer 1

\(x=\dfrac{\left(\sqrt{10}-\sqrt{2}\right)\left(\sqrt{10}+\sqrt{2}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)}=\dfrac{10-2}{3-1}=\dfrac{8}{2}=4\)

(y^2+y)^2-x^2=0

=>(y^2+y)^2=4^2=16

=>y^2+y=4 hoặc y^2+y=-4

=>y^2+y-4=0 hoặc y^2+y+4=0(vô lý)

=>\(y\in\left\{\dfrac{-1\pm\sqrt{17}}{2}\right\}\)