Quadratic Equations

Quadratic equations consist of ax² + bx = c.

 

For example,

 

x² + 2x + 2 = 0

 

x² + 2x = -2

a + b = c

 

x = (-b ± √b² - 4ac) / 2a

 

x = (-2 ± √2² - 4 * 1 * 2) / 2*1

 

x =  (-2 ± √2² - 8) / 2

 

x =  (-2 ± √4 - 8) / 2

 

x = (-2 ± √-4) / 2

 

x = (-2 ± 2 i) / 2

 

x = -1 ± i

 

So this is an example of Quadratic Equation.