SOLUTION: I have to decide what type of solution this is. I'm thinking it's Positive (2R), but I'm having a hard time figuring the discriminant out. 3-6x^2=-5x+1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have to decide what type of solution this is. I'm thinking it's Positive (2R), but I'm having a hard time figuring the discriminant out. 3-6x^2=-5x+1      Log On


   

Question 1008162: I have to decide what type of solution this is. I'm thinking it's Positive (2R), but I'm having a hard time figuring the discriminant out.
3-6x^2=-5x+1
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put the equation into general form. Use the formula for Discriminant.

-6x%5E2%2B5x%2B3-1=0

-6x%5E2%2B5x%2B2=0

highlight_green%286x%5E2-5x-2=0%29

The process of completing the square to solve the equation will lead to a radical part of the expression for the solution; and the expression inside the radical (the square root function) is the Discriminant.

Generally for ax%5E2%2Bbx%2Bc=0, the expression b%5E2-4ac is the Discriminant.