Question

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

Answer 1

`Delta=-79`

Explanation:

For a general quadratic equation of the form `ax^2+bx+c=0`, the discriminant is given by `Delta=b^2-4ac`#.

So in this case, `Delta=(-11)^2-4(5)(10)=-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.