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.

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Presentation transcript:

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

Solving Quadratic Equations Ch 6 way

Solving Quadratic Equations Ch 13 way

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)

Example 1: Solve or Rationalize:

Example 2: Solve

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

Example 3: Solve +5

Example 4: Solve -2

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

Example 5: Solve (x -7)² =3

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

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

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?

Assignment Page 583, (2-40) even