4 5 solving quadequations
- 1. Solving Quadratic Equations by Finding Square Roots Chapter 4.5
- 2. Format d • x • To solve take square root of both sides 2 x2 x d d
- 4. Solution Types • x 2 d When d is positive 2 solutions When d is zero One solution When d is negative No Real solutions
- 5. Solve equations using square rooting! Goal: x 2 term • Isolate the • Leave answers in exact form 2 2 • Examples x 8 3x 10 -3x2 -3x2 2 2x 2 x x 2 50 2 25 5 2x 2 8 10 -8 2x 2 x x 2 -2 -8 18 -2 9 3
- 6. 4x 2 2 5 +2 4x 4 x 2 2 +2 4 x 1 4 x 1 4 7 4 x 1 x x 7 2 8 4 7 7 4 2 x 1 +1 x 2 2 2 2 2 +1 2 1
- 7. Falling Objects • Formula h 16t 2 s h = height of object (at end of fall) s = height the object was dropped from t = # of seconds object has fallen Word problems!
- 8. Example For a science competition students designed a container that prevents an egg from breaking when dropped from a height of 50 ft. How long does the container take to hit the ground? (round answer to nearest tenth) • h = 0 ft • s = 50 ft • t = What we need to calculate h 16t 2 s 0 16t 2 50