Completing the Square Notes

2makesurethecoefficientonthex2termis1ifitsnot

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Unformatted text preview: quadratic equation­­ 1) Get all variables on one side of the equation and constants on the other. 2) Make sure the coefficient on the x2 term is 1. If it's not, divide by the coefficient on all terms! 3) Add blanks to both sides. 4) Take 1/2 of b and put in parentheses in #6 5) Square it (1/2 of b) and put it in the blanks 6) Parentheses squared 7) Square Root Property (±!!) 8) Solve for the variable Algebra II 2 Chp. 5.5 ­ Completing the Square March 07, 2013 Examples: Ex. 1 ­ Solve by using the Square Root Property. a) x2 ­ 12x + 36 = 0 b) x2 ­ 16x + 64 = 0 c) x2 + 8x + 16 = 20 d) x2 ­ 6x + 9 = 0 Ex. 2 ­ Find the value of c that makes the quadratic equation a perfect square. a) x2 + 16x + c b) x2 ­ 14x + c Ex. 3 ­ Solve by Completing the Square. a) x2 ­ 10x + 24 = 0 c) 3x2 + 10x = 8 d) 3x2 ­ 14x = ­16 e) x2 + 2x + 2 = 0 Algebra II b) x2 + 10x = ­9 f) x2 ­ 6x + 25 = 0 3 Chp. 5.5 ­ Completing the Square March 07, 2013 Homework: p. 288 (#14­46 Evens, 58, 59, 63­65) Algebra II 4...
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