Решить неравенство [latex] sqrt{x+8} extgreater x+2[/latex]

[latex] sqrt{x+8} extgreater x+2\\1)quad left { {{x+2 extless 0} atop {x+8 geq 0}} ight. ; left { {{x extgreater -2} atop {x geq -8}} ight. ; ; o ; ; x extgreater -2\\2)quad left { {{x+2 geq 0} atop {x+8 extgreater (x+2)^2}} ight. ; left { {{x geq -2} atop {x+8 extgreater x^2+2x+4}} ight. left { {{x geq -2} atop {x^2+x-4 extless 0}} ight. ; left { {{x geq -2} atop {xin (frac{-1-sqrt{17}}{2},frac{-1+sqrt{17}}{2})}} ight. \\frac{-1-sqrt{17}}{2}approx -2,56; ; ;; ; frac{-1+sqrt{17}}{2}approx 1,56[/latex][latex]xin left [-2,frac{-1+sqrt{17}}{2}ight )[/latex]