# How to use the discriminant to find out what type of solutions the equation has for 4x^2 - 20x + 25?

$D = {d}^{2} = 400 - 200. = 200 = 100 \left(2\right) \to d = \pm 10 \sqrt{2}$
$x = \frac{20}{8} + \frac{10 \sqrt{2}}{8} = \frac{10}{4} + \frac{5 \sqrt{2}}{4}$
$x = \frac{10}{4} - \frac{5 \sqrt{2}}{4}$