How do you find the discriminant and how many and what type of solutions does #3x^2- 2x = 5# have?
For this type of quadratic equations, you don't need to find the Discriminant.
Shortcut: When a - b + c = 0, one real roots is (-1) and the other is
2 real roots: -1 and 5/3.
For a quadratic equation in the form
the discriminant is
Convert the given equation into the "standard form"
the given equation has
The full form for roots of the quadratic
and both solutions would be Rational (but not Integers)