# How do you find the roots, real and imaginary, of y= 0.5x^2-0.6x +3.659  using the quadratic formula?

May 20, 2017

No real roots

#### Explanation:

$y = 0.5 {x}^{2} - 0.6 x + 3.659 = 0$
$D = {d}^{2} = {b}^{2} - 4 a c = 3.6 - 7.32 = - 3.72 < 0$.
Since D < 0, there are no real roots. There are 2 imaginary roots.