| x 2 − 2 x + 3 | + x 2 > 3 x {\displaystyle \ |x^{2}-2x+3|+x^{2}>3x} x 2 − 2 x + 3 > 3 x − x 2 {\displaystyle \ x^{2}-2x+3>3x-x^{2}} או x 2 − 2 x + 3 < x 2 − 3 x {\displaystyle \ x^{2}-2x+3<x^{2}-3x}
x 2 − 2 x + 3 < x 2 − 3 x x + 3 < 0 x < − 3 {\displaystyle {\begin{aligned}&x^{2}-2x+3<x^{2}-3x\\&x+3<0\\&x<-3\\\end{aligned}}}
x < 1 : x > 1.5 {\displaystyle {\begin{aligned}x<1:x>1.5\end{aligned}}}