( (x^2-1,5x-7)/(x-4)^2 )gt; 0

((x^2-1,5x-7)/(x-4)^2)=0 2x^2-3x-14=0 D=(-3)^2-4*2*(-14)=121 x1=-2; x2=7/2 x∈(-∞, -2)⋃(3.5, 4)⋃(4, ∞)