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

1 Answer
Nov 6, 2015

Answer:

#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.