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Factor and Solve Quadratic Equations
Ms. Nong
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What is in this unit? Graph the quadratic equations (QE)
Solve by taking SquareRoot & Squaring Solve by using the Quadratic Formula Solve by Completing the Square Factor & Solve Trinomials (split the middle) Factor & Solve DOTS: difference of two square Factor GCF (greatest common factors) Factor by Grouping
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Remember: The inverse opeation (opposite) of SquareRoot is Squaring &
Square is taking SquareRoot ( ) 2 ( )2 √ √
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To complete examples you see previously…
*Put ± before 5 {-3, 7}
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Inverse operation of Square
√SqRoot cancels out Square Subtract 3 to both sides
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First, isolate the squared factor: 5(x + 5)2 = 75 (x + 5)2 = 15
Ex: Solve by taking square roots 5(x + 5)2 – 75 = 0 First, isolate the squared factor: 5(x + 5)2 = 75 Isolate the ( x + 5)2 (x + 5)2 = 15 Now take the square root of both sides: SqRoot both sides Put ± on the right side Subtract 5 to both sides
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Assignment Check answers with me
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