1. Algebra II Section 4.5a Complete the Square

2. Solve the equation by finding square roots.
** a little bit different **
- do NOT set equal to zero
- factor the left hand side (should be a perfect square)
- then solve by taking the square root both sides.
- remember the ±

3. Solve the equation by finding square roots. 1. x2 + 6x + 9 = 36

4. Solve the equation by finding square roots. 2. x2 - 10x + 25 = 1

5. Solve the equation by finding square roots. 3. x2 - 24x + 144 = 100

6. Solve the equation by finding square roots. 4. x2 - 20x + 100 = 13

7. Solve the equation by finding square roots. 5. x2 + 8x + 16 = 45

8. Find the value of c that makes the expression a perfect square trinomial. Then write the expression in factored form. ** to do this take the coefficient of the x term - (½) it - then square it

9. ** to do this take the coefficient of the x term - (½) it - then square it 6. x2 + 14x + c

10. Find the value of c that makes the expression a perfect square trinomial. Then write the expression in factored form. 7. x2 - 22x + c

11. 8. x2 + 26x + c

12. 9. x2 - 9x + c

13. 10. x2 + x + c

14. Solve by Completing the Square
Steps:
“move” constant term to the right side
“add/subtract” the coefficient of the x term squared to both side of the equation.
write the left side in factored form
solve
** remember the ±

15. Solve by completing the square. 11. x2 - 10x + 1 = 0

16. Solve by completing the square. 12. x2 + 6x + 4 = 0

17. Homework:
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