Algebra 2 cc Section 2.1 Solve quadratic equations by square roots A quadratic equation in standard form ax 2 + bx + c = 0 ax 2 is the quadratic term bx is the linear term c is the constant term It will have two solutions. The solutions of x 2 – 2x – 3 = 0 are x = 3 and x = -1 because (3) 2 – 2(3)x – 3 = 0 and (-1) 2 – 2(-1) – 3 = 0

Solve the quadratic equation by using square roots. x 2 = 144 3x 2 = 21 2x = 5x 2 - 9

Solve by using square roots 5w 2 - w 2 = (x+1) 2 = 100 2(a-6) 2 – 45 = 53

When an object is dropped, its speed continually increases, and therefore its height above the ground decreases at a faster and faster rate. The height, h, in feet of the object t seconds after it is dropped can be modeled by the function h = -16t 2 + h o where h o is the objects initial height. (air resistance is ignored)

A stuntman working on the set of a movie is to fall out a window 100 feet above the ground onto an air cushion 26 ft wide by 30 feet long and 9 ft high. For how many seconds will the stuntman fall before, he reaches the air cushion? h = -16t 2 + h o

Assignment Page 267 Problems even, 69,70,72,74 75 e.c.