Question

$2 {x}^{2} - \frac{x}{2} \leqslant 25$

Answer 1

$2x^2 - \frac{x}{2}\leq 25 2x^2 - x/2 -25 \leq 0 4x^2 -x -50 \leq 0 \Delta=1+4.4.50 \Delta=801 X=1+-\sqrt{801}/2.4 X=1+-3\sqrt{89}/8 X \in [\frac{1+-3\sqrt{89}}{8}]$