Question

решите неравенство
$frac{x^3-3 x^{2} -10x}{x^2-3 x -10} geq 0$

Answer 1

x(x²-3x-10)/(x²-3x-10)≥0
{x≥0
{x²-3x-10)≠0
x1+x2=3 U x1*x2=-10⇒x1=-2 U x2=5
x∈[0;5) U (5;∞)