Solving Quadratic Equation with One Unknown
How to solve a quadratic equation.
The quadratic equation can be expressed as
a x^{2} + b x + c = 0 (1)
which can be solved for the two alternatives of x as
x_{1,2} = (b ± (b^{2}  4 a c)^{1/2}) / (2 a) (2)
Example  Solving Quadratic Equation
If
a = 1
b = 6
c = 5
then the two alternatives for x can be calculated as
x_{1} = (6 + (6^{2}  4 1 5)^{1/2}) / (2 1)
= 1
x_{2} = (6  (6^{2}  4 1 5)^{1/2}) / (2 1)
= 5
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