Make up quadratic equations that have the following number of real solutions using the variable x.

Question

Two solutions:
One solution:
No solution:

Answer 1

Two solutions: 2x² + 7x + 6 = 0  because the discriminant, b² - 4ac, is greater than 0.

One solution: x² - 12x + 36 = 0 because the discriminant = 0.

No solutions: 6x² -2x + 5 = 0 because the discriminant is less than 0. There are two imaginary solutions.