Complete the Square
Quadratic Formula
Quadratic Methods
Quadratic Functions and their Graphs
Potpourri
100

This is the solution to:  2x^2-8x+3 by completing the square

What is: 

(4+-sqrt(10))/2

100

This is the solution to: 3x^2+16x+5 using the quadratic formula.

What is 

{-1/3,-5}

100

This is the solution to:  sqrt(16x)=x+3 

What is 

1,9

100

This is the name of the graph of a quadratic equation.

What is a parabola

100

This is the solution to: (2x-5)^2=-16 

What is no real solution

200

This is the solution to: x^2-2x-2=0 by completing the square

What is: 

1+-sqrt(3)

200

This is the solution to: 1/8x^2-1/4x-2=0 using the quadratic formula.

What is 

1+-sqrt(17)

200

This is the solution to: 6/x^2=3/(x+1) 

What is 

1+-sqrt(3)

200

This is the vertex and intercepts (x & y) for:

f(x)=3x^2+3x+1

What is: Vertex:(-1/2,1/4), y-int: 1, no x-int.

200

This is the solution to:  (x+10)^2=11 

What is 

-10+-sqrt(11)

300

This is the solution to:  3p^2-12p+2=0 by completing the square.

What is 

(6+-sqrt(30))/3

300

This is the name and expression for the part of the quadratic formula that determines the type and number of solutions.

What is the discriminant

(b^2-4ac)

300

This is the solution to:  z^4-13z^2+36=0 

What is 

+-3,+-2

300

This is the vertex for 

f(x)=-3x^2+6x+4

What is 

(1,7)

300

A parabola is found to have its vertex in Quadrant I and open upward.  This can be said about the x-intercepts.

What is there are none

400

This is the solution to: 2x^2+7x=4 by completing the square.

What is 

-4,1/2

400

The graph of a quadratic equation that has no x-intercepts has this as the value of the discriminant.

What is 

<0

400

This is the solution to

(5n+1)^2+2(5n+1)-3=0

What is 

-4/5,0

400

This is the vertex for:

f(x)=5x^2-10x+3

What is 

(1,-2)

400

The cost in dollars of manufacturing x bicycles at Holladay's Production Plant is given by the function: C(x)=2x^2-800x+92,000 . Find the number of bicycles manufactured to minimize the cost.

What is 

200

500

This is the solution to: 5x^2+15x-1=0 by completing the square.

What is 

(-15+-7sqrt(5))/10

500

This is the solution to  2/3x^2-20/3x=-100/6 using the  quadratic formula.

What is 5

500

This is the solution to:

1=4/(x-7)+5/(x-7)^2

What is 

6,12

500

A projectile is fired upward from the ground with an initial speed of 96 feet/sec and its height h in feet is given by  h(t)=-16t^2+96t   This is the maximum height of the projectile.

What is: 

144 ft

500

An isosceles right triangle has legs of equal length.  If the hypotenuse is 20 cm. long, this is the length of each leg.

What is 

10sqrt(2)