The solutions of some quadratic equations, (), are not rational, and cannot be obtained by factoring. For such equations, the most common method of solution is the quadratic formula. Note: The quadratic formula can be used to solve ANY quadratic equation, even those that can be factored. Be sure you know this very useful formula!!!
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The quadratic formula is derived from the quadratic equation by a process called "completing the square". Here is how it was developed:
