Notes #___ 6.4 Completing the Square

# Notes #___ 6.4 Completing the Square

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## Notes #___ 6.4 Completing the Square

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1. Notes #___6.4Completing the Square

2. 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.

3. Ex 1 Solve:

4. Ex 2 Solve:

5. Completing the Square Process used when transforming a quadratic expression into a perfect square trinomial.

6. Ex 3 Find the value of c that makes a perfect square trinomial and then factor.

7. Ex 4 Find the value of c that makes a perfect square trinomial and then factor.

8. 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.)

9. Ex 5 Solve by completing the square:

10. Ex 6 Solve by completing the square:

11. Ex 7 Solve by completing the square:

12. Ex 8 Solve by completing the square: