9.1-2Quadratics - 9.1QuadraticEquations...

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9.1 Quadratic Equations If  a 2  = c , where  c  is a real number, then  a = ± b .  The perfect square trinomial  a 2  + 2ab + b 2  = (a + b) 2 .   Any  equation can be turned into a perfect square trinomial by completing the square:  [1] if the coefficient of  x ≠1,divide the equation by the coefficient of  x 2 ; [2] rewrite the equation in the form  x 2  + bx = -c ; [3] add  2 2 b   to both sides of the equation; [4] write the trinomial in the form  ( a + b) 2  and simplify the other side, if possible;  [5] solve as  a 2  = c. Solve the following 1. x 2  = 121 2. w 2  + 49 = 0 3. 4 x 2  = 25 4. ( 29 2 2 8 a + = 5. 2 2 5 3 9 w + = Find the perfect square trinomial whose first two terms are given; then factor: 6. m 2  + 14m 7. w 2  – 5w 
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This note was uploaded on 01/04/2012 for the course MATH 1033 taught by Professor Patriciabishop during the Fall '11 term at Miami Dade College, Miami.

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9.1-2Quadratics - 9.1QuadraticEquations...

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