# What is the value of the discriminant for the quadratic equation 5w^2 - 11w + 10 = 0?

Nov 6, 2015

$\Delta = - 79$

#### Explanation:

For a general quadratic equation of the form $a {x}^{2} + b x + c = 0$, the discriminant is given by $\Delta = {b}^{2} - 4 a c$#.

So in this case, $\Delta = {\left(- 11\right)}^{2} - 4 \left(5\right) \left(10\right) = - 79$.

We can also obtain some information regarding the nature of the roots of the equation by considering the value of the discriminant.
In this case, since $\Delta < 0$, it implies that the roots are complex.