Solving Quadratic Equations ( Quadratic Formula )

The most reliable method in solving quadratic equations is of course the quadratic formula.
It works for all equations, but care must be taken to ensure that the solutions do exist(for the case of real numbers).

Given an equation

we can find the solutions by using the formula





Example :

Solve quadratic equation by using the quadratic formula.

We see that a = 1, b = -5, c = -6. Inputting these into the formula gives

 
and
.
The two solutions are 6 and -1

Here's a short video on how to use the formula.