COMPLETING THE SQUARE

Some quadratic equations can be solved by factoring. However some are prime and cannot be solved by factoring.

The completing the square procedure can be used to find the solutions to these non factorable quadratic equations. 

Completing the square and the square root property are both used to find the solutions to quadratic equations. 

Consider the incomplete square below

It can be converted into a perfect square trinomial by adding (b/2)^2 to both sides as illustrated below

 

TRANSFORMATION OF FUNCTIONS