Question:

Solve the inequality $\displaystyle 2x^2 - 5x + 2 \leq 0$

Attempt:

$\displaystyle 2x^2 - 5x + 2 \leq 0$

$\displaystyle 2 [ x^2 - \frac{5x}{2} + \frac{2}{2} ]$

$\displaystyle 2 [ x^2 - 2.5x + 1 ]$

$\displaystyle 2 [ (x - \frac{2.5}{2})^2 - (\frac{2.5}{2})^2 + 1 ]$

$\displaystyle 2 [ (x - \frac{2.5}{2})^2 + 2\frac{9}{16} ]$

What to do next?