Question

How do you find the discriminant of `7v ^ { 2} - 6v - 4= 0`?

Answer 1

Discriminant of a quadratic is `b^2-4ac`. Answer: `148`

Explanation:

Since the discriminant of a quadratic in the form `ax^2+bx+c=0` is `b^2-4ac`, we can easily input the values from the given equation:
a=7, b=-6, c=-4
So, `b^2-4ac=(-6)^2-(4*7*-4)`
`=36-(-112)`
`=36+112`
`=148`
Therefore, the discriminant is 148, which also means that there are exactly 2 solutions in the given equation.