Algebra II Section 4.5a Complete the Square

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 ±

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

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

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

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

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

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

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

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

8. x2 + 26x + c

9. x2 - 9x + c

10. x2 + x + c

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 ±

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

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

Homework: Page 260 – 262 2 – 18 Evens 26 – 32 Evens 40, 64 68, 82