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Quadratic Formula

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
Example:

Solve the equation:

$\displaystyle 5x^2-5x-30=0 $

$\displaystyle x_{1,2}$ $\displaystyle =\frac{5\pm\sqrt{25+600}}{10}$    
  $\displaystyle =\frac{5\pm\sqrt{625}}{10}$    
  $\displaystyle =\frac{5\pm25}{10}$    
  $\displaystyle =\frac{1\pm5}{2}$    

$\displaystyle x_{1}=3 \qquad x_{2}=-2 $

The decomposition in linear factors is:

$\displaystyle 5(x-3)(x+2)=0 $

(Authors: Jahn/Knödler)

see also:

  automatisch erstellt am 8.  7. 2004