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Formula Quadratic Equations
Many quadratic equations cannot readily be solved by either of the two techniques already described (taking the square roots or factoring). For example, the quadratic equation is not a pure quadratic and, therefore, cannot be solved by taking the square roots. In addition, the left-hand side of the equation cannot readily be factored. The Quadratic Formula is a third technique for solving quadratic equations. It can be used to find the roots of any quadratic equation.

Equation above is the Quadratic Formula. It states that the two roots of a quadratic equation written in general form, and equal to and 
The Quadratic Formula should be committed to memory because it is such a useful tool for solving quadratic equations.
There are three steps in solving a quadratic equation using the Quadratic Formula.
Step 1. Write the equation in general form.
Step 2. Substitute the values for a, b, and c into the Quadratic Formula and solve for x.
Step 3. Check the roots in the original equation.



Example 2:



The Quadratic Formula can be used to find the roots of any quadratic equation. For a pure
quadratic equation in which the numerical coefficient b equals zero, the Quadratic Formula above reduces to the formula given as below.

For b = 0, this reduces to the following.

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Comment by helicopteraway
wrote a quadratic equation solving program in c++ today … i’m slipping fuher into nerd world .
Comment by leanrivera7
Reading and trying to understand what Quadratic Equation is all about.