**Quadratic Equation Project**

By Shakal Ahad

State the problems

Show equation

Solve using the quadratic formula

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

https://www.youtube.com/watch?v=nPjGBPCVll

khan academy video

https://www.khanacademy.org/math/algebra/quadratics/quadratic_formula/v/using-the-quadratic-formula

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**

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