Square Root Property Can solve by factoring Can also use the square root property: For any real number n, if x2 = n, then ** Can only be used when the quadratic expression is a Perfect Square Trinomial.
Ex 1 Solve:
Ex 2 Solve:
Completing the Square Process used when transforming a quadratic expression into a perfect square trinomial.
Ex 3 Find the value of c that makes a perfect square trinomial and then factor.
Ex 4 Find the value of c that makes a perfect square trinomial and then factor.
Steps to Solving usingCompleting the Square • If a does not equal one, divide every term by a • Move the constant to the other side. • Take ‘b’, divide by 2 and square it. Add that number to both sides of the equation. • Factor the perfect square trinomial. • Solve by using the Square Root Property. (Don’t forget + and - roots.)
Ex 5 Solve by completing the square:
Ex 6 Solve by completing the square:
Ex 7 Solve by completing the square:
Ex 8 Solve by completing the square: