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# The quadratic formula - possibilities are distinguished by...

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The quadratic formula Many quadratic equations cannot be solved by factoring. This is generally true when the roots, or  answers, are not rational numbers. A second method of solving quadratic equations involves the use  of the following formula:  a, b,  and  c  are taken from the quadratic equation written in its general form of  ax 2  +  bx  +  c  = 0  where  a  is the numeral that goes in front of  x 2 b  is the numeral that goes in front of  x , and  c  is the  numeral with no variable next to it (a.k.a., “the constant”).  When using the quadratic formula, you should be aware of three possibilities. These three
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Unformatted text preview: possibilities are distinguished by a part of the formula called the discriminant. The discriminant is the value under the radical sign, b 2 – 4 ac . A quadratic equation with real numbers as coefficients can have the following: 1. Two different real roots if the discriminant b 2 – 4 ac is a positive number. 2. One real root if the discriminant b 2 – 4 ac is equal to 0. 3. No real root if the discriminant b 2 – 4 ac is a negative number....
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