Hey there!
To find the discriminant of an equation, you first need to identify the A, B, and C of your equation. You can do this by comparing your equation to the standard form.
Standard Form: ax² + bx + c
Equation: 3x² – 10x + 2
If you add 2 to both sides, you can get everything on one side and you can assure that all of your numbers are accurate.
A will be equal to 3, B will be –10, and C will be 2.
Now, you need to plug in those numbers into the discriminant equation:
b² – 4ac
If your discriminant is 0, there is one rational solution. If it's a positive perfect square, there are 2 rational solutions. If it's a positive non–perfect square, there will be 2 irrational solutions, and if it's a negative number, there will be 2 complex solutions.
Hope this helped you out! :-)
