To find the value of the discriminant for the quadratic equation, we first need to put it in the standard form, which is ax² + bx + c = 0. The given equation is 3x² + 2x = 0, where:
- a = 3
- b = 2
- c = 0
The discriminant D is calculated using the formula:
D = b² – 4ac
Now, let’s substitute the values of a, b, and c into the formula:
D = (2)² – 4(3)(0)
Calculating this gives us:
D = 4 – 0 = 4
Therefore, the value of the discriminant for the quadratic equation 3x² + 2x is 4. This positive discriminant indicates that the quadratic equation has two distinct real roots.