9­6 Solving Quadratic Equations by Completeing the Square.notebook
May 03, 2017
9­6 Completing the Square ­ Day 1
Some quadratic equations can be solved with straight forward algebraic solving:
Some quadratic equations can be solved by factoring:
When quadratics cannot be solved by these techniques, the method of "completing the square" can be used. To use this technique we must first remember what a perfect square is.
A perfect square trinomial can be written as the square of a linear binomial.
For example,
9­6 Solving Quadratic Equations by Completeing the Square.notebook
May 03, 2017
Find the value of "c" such that the polynomial represents a perfect­
square trinomial.
General equation to find the value of "c" to complete the square:
Find the value of "b" such that the polynomial represents a perfect­
square trinomial.
9­6 Solving Quadratic Equations by Completeing the Square.notebook
May 03, 2017
Circle the expressions that are perfect squares. If it is not, explain why.
The following expressions are all perfect­square trinomials ­ rewrite each expression as a binomial squared.