5.2 Solving Quadratic Equations Warm-up (IN) CSAP Constructed Response Learning Objective: To solve quadratic equations by taking square roots and to use.

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Presentation transcript:

5.2 Solving Quadratic Equations Warm-up (IN) CSAP Constructed Response Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles.

Notes Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. Properties of Square roots ** Product property - ** Quotient property -

Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. EX 1 – Solve SADMEP! Try t his p. 282 (middle and bottom)

Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. EX 2 – A helicopter 85 ft above a designated area drops a boxes of food to a disaster area. The height of the box above the ground can be modeled by, where t is the time in seconds after it has been released. After how many seconds will it hit the ground?

Pythagorean Theorem! Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. In a right, the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse. a b c EX 3 – Find the unknown length a. A B b C

b. J K k L Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles.

EX 4 – What must be the length of QS so that it contacts the ground halfway between the base of the tower and the point where PS contacts the ground? S P 75 ft 106 ft Q R

HW – p. 287 #21-43 odd, Out – Describe the procedure you would use to solve Summary – So, I was thinking… POW!!