monday, february 2 simplify radicals. solve quadratic equations by square root method
TRANSCRIPT
Monday, February 2Monday, February 2
• Simplify Radicals.
•Solve quadratic equations by square root method.
Notes Over 5.3Simplest Form of Radicals
An expression with radicals is in simplest form if the following are true:
• No perfect square factors other than 1 are in the radicand
• No fractions are in the radicand
• No radicals appear in the denominator of the fraction
Notes Over 5.3Using Properties of Square Roots
1 60. 4
Simplify the expression.
2 15 15
2 2 18. 36 6
381
121.
9
11
Notes Over 5.3Solving a Quadratic Equation
4 4 5 12. x 5
Solve the equation.
4 2x 45
4 4x2 1x 1 1
Notes Over 5.3Solving a Quadratic Equation
5 12 2 42. y 12
Solve the equation.
2 2y 8 12
2 2y2 4y 4 2
Notes Over 5.3Solving a Quadratic Equation
64
3 332
. p
3
Solve the equation.
p2
436
3
4b g4p2 144
p 144 12
Notes Over 5.3Solving a Quadratic Equation
7 3 92
. y b g
Solve the equation.
y 3 3
y 3 3y 0 , 6
3 3
Notes Over 5.3Solving a Quadratic Equation
8 1 1962
. w b g
Solve the equation.
w 1 14
w 1 14w 15, 13
1 1
Notes Over 5.3Solving a Quadratic Equation
9 2 3 122
. xb g
Solve the equation.
x 3 6
x 3 63 3
2 2x 3
2b g 6
Notes Over 5.3Solving a Quadratic Equation
10 8 502
. r b g
Solve the equation.
r 8 25 2
r 8 5 28 8
Notes Over 5.3Solving a Quadratic Equation
11 5 3 502
. x b g
Solve the equation.
x 3 10
x 3 103 3
5 5
x 32b g 10
Notes Over 5.3Solving a Quadratic Equation
12 3 52
. 1
3z b g
Solve the equation.
z 3 15
z 3 15 3 3
z 32b g 15
3b g3
Notes Over 5.3Modeling a Falling Object’s Height with a Quadratic FunctionModeling a Falling Object’s Height with a Quadratic Function
13. A coyote is standing on a cliff 254 feet above a roadrunner. If the coyote drops a boulder from the cliff, how much time does the roadrunner have to move out of its way?
h t h 16 200 254
254 254 16 2t
t 2 15875.t seconds
254
16 16
398.
Notes Over 5.3Modeling a Falling Object’s Height with a Quadratic FunctionModeling a Falling Object’s Height with a Quadratic Function
14. An apple falls from a branch on a tree 30 feet above a man sleeping underneath. When will the apple strike the man?
h t h 16 200 30
30 30 16 2t
t 2 1875.t seconds
30
16 16
137.
Notes Over 5.3