# How do you find the discriminant and how many and what type of solutions does #3x^2- 2x = 5# have?

##### 2 Answers

May 3, 2015

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.

May 3, 2015

For a quadratic equation in the form

the discriminant is

Convert the given equation into the "standard form"

Since

the given equation has

The full form for roots of the quadratic

would become

and both solutions would be Rational (but not Integers)