Question

найдите ОДЗ ^6√x^3x^2+2x

Answer 1

$x^3-3x^2+2x \ge 0$

$x^3-x^2-2x^2+2x \ge 0$

$x(x^2-3x+2) \ge 0$

$x(x^2-x-2x+2) \ge 0$

$x[x(x-1)-2(x-1)] \ge 0$

$x(x-1)(x-2) \ge 0$

$x\in[0;1]\cup[2;+\infty)$