Question

How do you find the discriminant and how many solutions does `2a^2 + 4a - 6 = 0` have?

Answer 1

Given a quadratic equation in the general form: `ua^2+va+t=0`
The discriminant is:
`Delta=v^2-4ut`
in your case:
`u=2`
`v=4`
`t=-6`
So: `Delta=....`

Remember that:
`Delta>0` two real separate solutions;
`Delta=0` two real coincident solutions (the same value counted twice);
`Delta<0` No real solutions.