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Published byFelicity Watts Modified over 5 years ago

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Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant

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Steps to Follow 1. Set the equation equal to zero. 2. Factor. 3. Set each factor equal to zero (set up a T-chart). 4. Solve.

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Quadratic Formula

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Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative?

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Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative?

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Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots

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Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots 1 real root

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Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots 1 real root 2 imaginary roots 0 real roots

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2 real roots

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0 real roots 2 imaginary roots

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