Решите неравенства -1/2х^2+2 <=х-2х^2

Question

Решите неравенства -1/2х^2+2 <=х-2х^2

Answer 1

1/2*x^2+2-x+2x^2≤x-2x^2-x+2x^2. 5/2*x^2-x+2≤0. 2/5*(5/2*x^2-x+2)≤2/5*0. x^2-2/5*x+4/5≤0