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13.2 More on Solving Quadratic Equations

13.2 More on Solving Quadratic Equations. Goals: To solve ax ² =k -To solve by factoring into a binomial square To solve using (x +a) ² =k. Solving Quadratic Equations Ch 6 way. Solving Quadratic Equations Ch 13 way. To Solve in the form ax ² =k. Divide both sides by a

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13.2 More on Solving Quadratic Equations

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  1. 13.2 More on Solving Quadratic Equations Goals: • To solve ax² =k • -To solve by factoring into a binomial square • To solve using (x +a)² =k

  2. Solving Quadratic EquationsCh 6 way

  3. Solving Quadratic EquationsCh 13 way

  4. To Solve in the form ax² =k • Divide both sides by a • Take the square root of both sides • Remember to use + • Simplify (rationalize denominators)

  5. Example 1: Solve or Rationalize:

  6. Example 2: Solve

  7. To solve in the form (x +a)²=k • Take the square root of both sides • Solve for x

  8. +5 +5 +5 +5 Example 3: Solve

  9. -2 -2 -2 -2 Example 4: Solve

  10. If you can make a binomial square…do it Binomial Square- a² +2 ab +b² = (a +b)² a² -2 ab +b² = (a-b)²

  11. Example 5: Solve (x -7)² =3

  12. Projectile Height • Formula will be given: • height of the object when it lands. It is usually 0 because object usually land on the ground. • t= time the object is in the air • initial velocity • height of the object when it starts

  13. Projectile height Example 6: Toy rocket leaves ground at 25m/second. How high will it be in 2 seconds? In how many seconds will it hit the ground

  14. Example 7: Projectile Height A slow-pitch softball player hits the ball when it is 2m above the ground. The ball pops up with an initial velocity of 9m/s. If the ball is allowed to drop to the ground, how long will it be in the air?

  15. AssignmentPage 583, (2-40) even

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