# Using the quadratic formula to solve quadratic equations

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Is it true that solutions to quadratic equations can always be found using the quadratic formula?

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Quadratic formula

The equation has solution(s) given by the quadratic formula:

Assuming a, b and c are all real numbers, this splits into 3 cases.

Case 1:

In this case, since , the "two" solutions are in fact a single solution,

Case 2:

In this case, there are two different, real number ...

#### Solution Summary

The solution is one page in Word with mathematical formulae written in Mathtype.

It addresses, at the level of basic College Algebra or below, the use of the quadratic formula for finding solutions to quadratic equations. Included are explicit examples of the 3 major possibilities.

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