10.4 Solving With Square Roots

Quadratic Equations:

Solve by Factoring: 1. Set equal to zero 2. Hockey stick or t-chart 3. Split, set, see what you get

Solve by Square Root Method: 1. You have an “a” term 2. There is no “b” term

Ex 1: Determine what values make the statements true. a)b) c)d)

Ex 2: Solve using factoring and square root method. x x-2 +2 x+2=0 x-2=0 x=-2 x=2 a)b)

Ex 3: Solve using factoring and square root method. x x?? a)b)

Square Root Method: (use only when _________) 1. ___________________________________ 2. ___________________________________ 3. ___________________________________ b = 0 Get x 2 by itself Square root both sides Make sure there are two answers

a)

b)

c)

d)

e) 42 22

f)

Ex 5: Solve.

a) 43 22

b)

c)

Ex 6: Solve the following problems by getting the family alone and square rooting. Give two answers.

a)

b)

c)

d) 42 22

The formula d = 16t 2 gives the approximate distance in feet (d) traveled by a falling object in t seconds. d = ________________ t = ______________ Distance in feet Time in seconds

Ex 7: A visitor drops a penny off of the empire state building. If the penny is dropped 1296 feet from the observation deck, how long will it take to hit the ground? (use d = 16t 2 ) d = 16t = 16t 2 81 = t 2 9 seconds = t

Ex 8: A student decided to drop a water balloon on a teacher below the railing of the school, but because they failed physics, they missed and the balloon hit the ground. If the railing is 64 feet above the ground, how long did it take for the balloon to hit the ground? (use d = 16t 2 ) d = 16t 2 64 = 16t 2 4 = t 2 2 seconds = t