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Solving Quadratic Equations: Completing the Square and Quadratic Formula

Learn how to solve quadratic equations using the completing the square method and the quadratic formula. Practice problems included.

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Solving Quadratic Equations: Completing the Square and Quadratic Formula

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  1. Solving Quadratic Equations WARM UP May 22, 2015 Solve quadratic equations by Completing the square. x2 + 6x + 8 = 0 n2 − 2n − 3 = 0 5k2= 60 − 20k

  2. Solving Quadratic Equations The Quadratic Formula The quadratic formula is used to solve any quadratic equation. Standard form of a quadratic equation is: The quadratic formula is:

  3. Solving Quadratic Equations

  4. Solving Quadratic Equations The Quadratic Formula

  5. 8.2 – Solving Quadratic Equations The Quadratic Formula

  6. Quadratic Formula Musical ♪♫

  7. Solving Quadratic Equations The Quadratic Formula Do Now! m2 − 5m − 14 = 0 2x2 + 3x − 20 = 0

  8. Solving Quadratic Equations Unit 4 Test Preparation DOK 1] 3 problems of Factoring – what you need to know: GCF, Difference of squares Trinomial Factoring with/without leading coefficient DOK 2] 2 problems of solving quadratic equation what you need to know: Completing the square method Quadratic formula DOK 3] Let’s start with a goal problem

  9. Solving Quadratic Equations Okay! Now we can solve quadratic equations by using Quadratic Formula or completing the square. Wait! But then…..Can we try another method to solve the equation as well? Just like ______________.

  10. Solving Quadratic Equations Goal Problem DOK 3] What is a possible quadratic equation for the following solutions? x=1 or x=2 Practice your own! What is a possible quadratic equation for the following solutions? x=3 or x=-4

  11. Practice your own! What is a possible quadratic equation for the following solutions? x=3 or x=-4

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