Algebra 2 Ch.5 Notes Page 37 P37 5-7 Completing the Square.

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Presentation transcript:

Algebra 2 Ch.5 Notes Page 37 P37 5-7 Completing the Square

x2 +10x + 25 = 36 Solving Perfect Square Trinomials a2 + 2ab + b2 = (a + b)2 a2 - 2ab + b2 = (a - b)2 x2 +10x + 25 = 36

Completing the Square x2 + 12x + 6 = 0 A Method of Factoring Try to create a Perfect Square Trinomial a2 + 2ab + b2 = (a + b)2 a2 - 2ab + b2 = (a - b)2 Check to see if it is a Perfect Square Trinomial If Not... 1. Get C on Right Side of Equation. 2. Divide B by 2 and Square it. 3. Add this number to both sides. 4. Create Perfect Square Trinomial. 5. Undo Squaring. 6. Get x by itself. x2 + 12x + 6 = 0 A must be a 1. If it is not, divide everything in the problem by A to get the value of A to be a 1.

Example: x2 - 12x + 5 = 0

Example: x2 + 8x + 28 = 0

Example: A ≠1 5x2 + 20x = 40

Example: A ≠1 2x2 + x = 6

the homework. Also include the homework number. HW #37 5-7 P285 #1,2,7,9,15,17,25,27 Please put your name and class period at the top of the homework. Also include the homework number.