2. 5.3 Solving Quadratic Equations by Finding Square Roots (p. 264) How do you simplify radicals? What are the steps to rationalize a denominator? How many answers will you get when you solve a quadratic equation by finding square roots? Identify the formula h = −16t 2 + h 0 ?

3. How would you solve the equation: x 2 = 4 * Remember, the square root of a positive # has 2 answers! (one + and one -) (take the square root of each side!)

4. Radical Radical sign Radicand

5. Properties of Square Roots (a>0 and b>0) 1.Product Property – 2.Quotient Property- Example: Example:

6. Examples 1. 2. 3.

7. Rationalizing the Denominator You CANNOT leave a radical in the denominator of a fraction! No tents in the basement!!!! (the numerator is OK) Just multiply the top & bottom of the fraction by the radical to “rationalize” the denominator.

8. More Examples! 1. 2. Can’t have a tent in the basement!

9. Solving Quadratic Equations 1.Solve. 3 - 5x 2 = -9 -3 -3 -5x 2 = -12 -5 -5 x 2 = 2. 2.Solve. 3(x-2) 2 =21 3 3 (x-2) 2 = 7

10. More Examples! 3.Solve. 4x 2 -6=42 +6 +6 4x 2 =48 4 4 x 2 = 12 4. Solve.

11. Falling Objects! Use h = -16t 2 + h 0 Height of the object after it has fallen # of seconds after the object is dropped Object’s initial height

12. Example The tallest building in the USA is in Chicago, Illinois. It is 1450 ft. tall. How long would it take a penny to drop from the top of the building to the ground?

13. How do you simplify radicals? What are the steps to rationalize a denominator? How many answers will you get when you solve a quadratic equation by finding square roots? Identify the formula h = −16t 2 + h 0 ?

14. Assignment p. 267, 20-66 even