Question

Решите неравенство 0,5x(x-2)+1,5x< 3+1

Answer 1

$0.5x^{2}-x+1.5x\ \textless \ 4$
$0.5x^{2}+0.5x-4\ \textless \ 0$
$x^{2}+x-8\ \textless \ 0$
$x^{2}+x-8=0, D=1+4*8=33$
$x_{1}= \frac{-1- \sqrt{33}}{2}$
$x_{2}= \frac{-1+ \sqrt{33}}{2}$
$\frac{-1- \sqrt{33}}{2}\ \textless \ x\ \textless \ \frac{-1+ \sqrt{33}}{2}$