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13.4 The Quadratic Formula

13.4 The Quadratic Formula. Objective: 1.)To use the quadratic formula to solve quadratic equations 2.) To use the discriminant to find the number of solutions for a quadratic equation. Quadratic Formula.

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13.4 The Quadratic Formula

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  1. 13.4 The Quadratic Formula • Objective: 1.)To use the quadratic formula to solve quadratic equations 2.) To use the discriminant to find the number of solutions for a quadratic equation

  2. Quadratic Formula The boy with the negative attitude couldn’t decide whether to go to the radical party or b² and miss out on the 4 awesome chicks the party is over at 2am

  3. Quadratic Song to Pop Goes the Weasel x equals negative b Plus or minus the square root Of b squared minus four a c All over 2a

  4. Video Time

  5. Example 1:3x2 – 9x + 1 = 0

  6. 2x2 + 7x – 4 = 0 Ex 2: 2x2 = 4 – 7x

  7. Ex 3: Solve: 3x2 – 4x - 2 = 0

  8. Ex :4 Solve: x2 - 4x - 7 = 0

  9. Discriminant Determines the number of real-number solutions of a quadratic equation b² - 4ac = discriminant

  10. Discriminant of a Quadratic3 possibilities b²-4ac 1.) If positive then 2 solutions for x 2.) If 0 then 1 solution for x 3.) If negative then no real solutions for x

  11. “discriminate” Negative: no solution Zero: one solution Positive: two solutions Ex 5: How many solutions?3x2 – 5x + 1 = 0 2 solutions

  12. “discriminate” Negative: no solution Zero: one solution Positive: two solutions Ex 6: How many solutions?y = x2 – 3x + 7 = 0 0 solutions

  13. “discriminate” Negative: no solution Zero: one solution Positive: two solutions Ex: 7How many solutions?f(x) = x2 – 12x + 36 = 0 1 solutions

  14. Assignment:Page 593# 2-28, 42-52finding the roots is the same as solving for x

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