Решите неравенство 2x^2-6x+6>x^2-x

Question

Решите неравенство 2x^2-6x+6>x^2-x

Answer 1

2х^2 - 6x + 6 > x^2 - x

2x^2 - x^2 - 6x + x +6 >0

x^2 - 5x +6 >0

x^2 - 2*2.5*x + 2.5^2 - 0.25 > 0

(x - 2.5)^2 > 0.25

x - 2.5 > 0.5

x > 3