How to use the discriminant to find out what type of solutions the equation has for 2x^2 - 9x + 3?

1 Answer
Jun 3, 2015

y = 2x^2 - 9x + 3 = 0

$D = {d}^{2} = 81 - 24 = 57 \to d = \pm \sqrt{57}$

There are 2 real roots (2 x-intercepts)

$x = \frac{9}{4} \pm \frac{\sqrt{57}}{4}$