The image you uploaded is related to the discriminant in a quadratic equation of the form $ax^2 + bx + c = 0$. The discriminant is given by $\Delta = b^2 - 4ac$.

Here is how the discriminant affects the number of real solutions:

• If $\Delta > 0$: The quadratic equation has 2 real solutions (distinct real roots).
• If $\Delta = 0$: The quadratic equation has 1 real solution (a repeated real root).
• If $\Delta < 0$: The quadratic equation has no real solutions (complex/imaginary roots).

Now, let's match the rows to the correct categories:

1. $b^2 - 4ac > 0$ → 2 Solutions (because the discriminant is positive, indicating two distinct real solutions).
2. $b^2 - 4ac = 0$ → 1 Solution (because the discriminant is zero, indicating one repeated real solution).
3. $b^2 - 4ac < 0$ → No Real Solutions (because the discriminant is negative, indicating complex solutions).

Correct answers:

• $b^2 - 4ac > 0$ → 2 Solutions
• $b^2 - 4ac = 0$ → 1 Solution
• $b^2 - 4ac < 0$ → No Real Solutions

Do you need further clarification or have any questions on the discriminant? Here's a tip for your learning:

Tip: Remember that the discriminant determines the type of roots a quadratic equation has. Positive means two real roots, zero means one real root, and negative means no real roots!