1 Complete the Square Chapter 1.7

2 Solve a quadratic equation by finding square roots𝑥 2 −8𝑥+16=25 𝑥 2 +20𝑥+100=81 𝑥 2 +6𝑥+9=36 𝑥 2 −10𝑥+25=1

3 Vocabulary Completing the squareIf we have the expression x2+bx, to make it a perfect square we must complete the square by adding to both sides.

4 Find the value of c that makes the expression a perfect square trinomialx2 + 6x + c x2 + 8x + c x2 + 4x + c

5 𝑥 2 +16𝑥+𝑐 𝑥 2 −26𝑥+𝑐 𝑥 2 +14𝑥+𝑐 𝑥 2 −22𝑥+𝑐Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial. 𝑥 2 +16𝑥+𝑐 𝑥 2 −26𝑥+𝑐 𝑥 2 +14𝑥+𝑐 𝑥 2 −22𝑥+𝑐

6 Solve 𝑥 2 +𝑏𝑥+𝑐=0 by completing the square𝑥 2 −12𝑥+4=0 𝑥 2 −10𝑥+1=0 𝑥 2 +12𝑥+18=0

7 Solve 𝑎 𝑥 2 +𝑏𝑥+𝑐=0 by completing the square2𝑥 2 +8𝑥+14=0 3𝑥 2 −36𝑥+150=0 3𝑥 𝑥+2 =72

8 Solve 𝑎 𝑥 2 +𝑏𝑥+𝑐=0 by completing the square4. 2 𝑥 2 −4𝑥−14=0 5. 6𝑥 𝑥+8 =12

9 Write a quadratic function in vertex form𝑦= 𝑥 2 −10𝑥+22 𝑦= 𝑥 2 +18𝑥+95 𝑦= 𝑥 2 −8𝑥+17