Verified answer

(x^2-7x+10)^2-(x^2-6x+5)^2<0

(x^2-7x+10+x^2-6x+5)(x^2-7x+10-x^2+6x-5)<0

(2x^2-13x+15)(-x+5)<0

D=169-120=49

x1=(13+7)/4=5;x2=(13-7)/4=1.5

2(x-5)(x-1.5)(-x+5)<0

2(x-5)(x-1.5)(x-5)>0

-----(1.5)++++(5)+++++

по второму неравенству

+++++[-2√2]-------[2√2]+++++

ответ x⊂[2√2;5)U(5;+∞)