For the given solution set {2, -1}, write a quadratic equation in a general form. 

For the following equation, calculate the discriminant, as well as the number and type of solutions

4x² - 28x + 49 = 0

Solve for the constant that must be added to the given binomial in order to make it a perfect square trinomial. Show the perfect square trinomial, and factor it.

x² + 24x

Consider the following quadratic equation. Identify the number and type of its solutions without solving for x: 4x²=5+6x