Solving Quadratic Equations
Determine the exactly solution(s) by completing the square:
x^2-6x=14
x=3+-sqrt23
Which equations have no solutions:
a.)
5x^2+3=0
b.)
x^2=-81
c.)
x^2+12=12
d.)
x^2=36
e.)
(x-5)(x-5)=0
a and b
The function below represents the height, in meters, of a stomp rocket t seconds after it has been launched. When will the rocket reach a height of 10 meters?
h(t)=-2.5t^2+6t+8
The rocket will be at a height of 10 meters at both 0.4 seconds and 2 seconds.
Convert the expression from standard form to factored form:
x^2+14x+49
(x+7)^2
Use the quadratic formula to find the solution(s). Round your answer to the nearest thousandth.
x^2+6x=-3
x=-5.449, x=-0.551
Which equations have exactly one solution:
a.)
5x^2+3=0
b.)
x^2=-81
c.)
x^2+12=12
d.)
x^2=36
e.)
(x-5)(x-5)=0
c and e
The function below represents the height, in meters, of a stomp rocket t seconds after it has been launched. When will the rocket reach a height of 15 meters?
h(t)=-2.5t^2+6t+8
The rocket will never reach a height of 15 meters.
Convert the expression from standard form to factored form:
x^2-3x-40
(x-8)(x+5)
Solve:
(3x-4)(x+1)=0
x=-1, x=4/3
Write a quadratic equation in standard form that has two solutions
answers vary
The function below represents the height, in meters, of a stomp rocket t seconds after it has been launched. When will the rocket rocket hit the ground?
h(t)=-2.5t^2+6t+8
The rocket will hit the ground at approximately at second
3.354
Multiply
(x-3)(x+9)
x^2+6x-27
Determine the exact solution(s) by completing the square
x^2+16x-9=0
x=-8+-sqrt73
Write a quadratic equation in factored form that has one solution
answers vary
The function below represents the height, in meters, of a stomp rocket t seconds after it has been launched.
Write a new equation that can be solved to find when the rocket reach it's starting height
h(t)=-2.5t^2+6t+8
8=-2.5t^2+6t+8
Multiply
(2x-4)(x-5)
2x^2-14x+20
Solve:
x^2-8x-9=0
x=-1, x=9
Daily Double:
In which fictional Indiana town is the show, Stranger Things set?
Hawkins, Indiana
Daily Double:
What are the names of Mr. Morris' children?
Henry and Winslow
Convert the expression from standard form to factored form:
5x^2-17x-12
(5x+3)(x-4)