Verified answer

(х²-11)/7=(х-х²)/2

2х²-22=7х-7х²

9х²-7х-22=0      D=49+792=29²

х₁=(7+29)/18=2

х₂=(7-29)/18=-22/18=-1 2/9

2х^2-22=7х-7х^2

2х^2+7х^2-7x-22=0

9x^2-7x-22=0

D=49+792=841

x1=7+29/18=2

х2=7-29/18= -11/9