Common Core Standards
To solve using the quadratic equation, you need to find your a, b, and c values. Once you have that, just plug them into the formula, simplify, and solve. Easy as... the quadratic equation!
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Quadratic Equations 
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Solving Quadratic Equations by Factoring 
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Solving Quadratic Equations by Factoring 2 
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Solving Quadratic Equations: Completing the Squares 
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Using the Discriminant