Решите неравенство Х^2+10Х/2-5Х<0

Question

Решите неравенство
Х^2+10Х/2-5Х<0

Answer 1

0 " alt=" \frac{x^{2}+10x}{2-5x} <0\\\\x(x+10)*(-5)(x-0,4)<0}\\\\x(x+10)(x-0,4)>0 " align="absmiddle" class="latex-formula">

      -                        +                        -                     +

________₀______________₀__________₀__________

              - 10                            0                  0,4

x ∈ (- 10 ; 0) ∪ (0,4 ; + ∞)