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Published byAileen Miles Modified over 4 years ago

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Solving Quadratic Equations Quadratic Equations: Think of other examples?

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Solving Quadratic Equations General Form: Can a = 0? Can b = 0? Can c = 0? Not Quadratic! Linear Quadratic!

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Solving Quadratic Equations Null Law If then either a = 0 or b = 0 Solve ab So, either Therefore, 2 answers!!

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Examples

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Thinking question Remember to make one side ZERO first!

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Thinking question

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Solving Quadratic Equations To solve a quadratic equation, first put it in general form: ax 2 + bx + c = 0 Factorise the equation. Apply Null Law by letting each factor be equal to zero and solve for the variable.

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Solving Quadratic Equations Example: Solve: x 2 – 5x + 3 = 17 Put in general form: x 2 – 5x – 14 = 0 Factor: (x + 2)(x – 7) = 0

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Solving Quadratic Equations Solve: x 2 – 5x + 3 = 17 (x + 2)(x – 7) = 0 Set each factor equal to zero and solve: x + 2 = 0 x – 7 = 0 x = -2 x = 7 So the solutions to x 2 – 5x + 3 = 17 are x = -2 and x = 7

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Other types of quadratic

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Thinking question

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NO!!

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Word Problems Find two consecutive positive odd numbers such that the sum of their squares is 74. Remember?

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