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on 23 May 2014

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#### Transcript of Quadratic Equation Poject

State the problems
Show equation
Show solution graphically
Show solution with a TOV
Explain solution
References
1.A Rectangle has the length of (2x+6) and a with of (4x-3). It has an area of 500,So What is x?
2.Ben throws a ball from Jan's bed to the trashketball. Jans Ben is 3 feet off the ground. he threw the ball at a velocity of 20.What was the max height?
1. 8x²+18-5/8
2.-16t² + 20t + 3
1 Use foil (2x+6)(4x-3)
2 Find A B and C
8x²-18x-18=500
8x²+18-5/8
8x²+18-5/8
A=8 B=18 C=-5/8
3 plug in and solve
-b+/-√b²-4ac/2a
-18+/-√18-4(8)(-5/8)/2(8)
-18+/-√16,900/16
-18+/-130/16
-18+130/16
-18-130/16
X=7
X=-9.25
You cant have a negative # in geometry
4 Check
2(7)+6 * 4(7)+6 20*25=500
1. Find and plug in velocity and initial height
-16t² + vt + s
-16t² + 20t + 3
2 Find A B and C
-16t² + 20t + 3
A=-16 B=20 C=3
3 Plug in and solve
-20+/-√20²-4(-16)(3)/2(-16)
-20+/-√592/-32
-20+/-24.33/-32
-20+24.33/-32
-20-24.33/-32
4.33/-32
-44.33/-32
T=1.39
T=-.14
4 Axis of symmetry
x=-b/2a
x=-20/2(-16)
x=-20/-32
x=.63
X
Y
-3
-2
-1
0
1
2
3

-201
-101
-33
3
7
-21
-81
X
Y
0
9.25
0
-0.135
0.625
1.385
Graph
https://www.desmos.com/calculator
Music
problem solving
http://www.wolframalpha.com/
(2x+6) (2(7)+6) 20
(4x-3)(4(7)-3)
25
A=500
X=7 because it makes this problem true.By making the sides 20 and 35 which makes there product 500. X=7 instead -9.25 because you cant have a negative number in geometry.
Geometry Application
Vertical motion model
The max height of the ball Ben threw was 9.25 feet in .63 seconds and the ball hit the basket in 1.39 ,as can be seen on the graph.
( Insert cheesy end credit here)
such as
Thanks for watching
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