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Phase one.

YANG HUI
Yang Hui was Born in 1238 in China. Yang Hui was inspired to do math by Qin Jiushao. Lui I taught Yang math all his life. Yang was also a contemporary to some other famous mathematician to like Qin Jiushao. The math that he does is Mathematical Rules and Quadratics equation and he wrote books on it and he taught younger kids about math. Yang Hui wrote a Pascals triangle in his book witch is a method of finding the square roots and cubic roots. The inventor of the triangle was Jia Xian. Around 1275 AD, YAng had finally made two mathematical books. This is what Yang once said: **The men of old changed the name of their methods from problem to problem, so that as no specific explanation was given, there is no way of telling their theoretical origin or basis.**

Brahmagupta
Brahmagupta was born in 598 CE in Bhinmal City. Brahmagupta was the head astronomical observatory at Ujjain. During that time Brahmagupta wrote mathematical books. Then later on he also wrote books on astronomy. After when he was done writing his books he was the most famous person at his time. Brahmagupta most famous work is the Brohmasphutasiddhanta. Brahmagupta gave the solution of the general linear equation and the quadratic equation. Serios equation is what Brahmagupta gave the sum of squares and cubes. Brahmagupta wrote many books and people still today read them.



= P hase Two= = = =Question 1. Suppose a farmer has 3,100 yards of fencing to enclose a rectangular field. What is the largest area that the farmer can enclose? = =can enclose? = = = =

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=Question 2. The owner of a ranch decides to enclose a rectangular region with 340 feet of fencing. To help the fencing cover more land, he plans to use one side of his barn as part of the enclosed region. What is the maximum area the rancher can enclose?=

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=Question 3. A farmer wishes to enclose a rectangular region bordering a river using 2,700 feet of fencing. He wants to divide the region into two equal parts using some of the fence material. What is the maximum area that can be enclosed with the fencing? = = =

= = =Part 2. Some fireworks are fired vertically into the air from the ground at an initial velocity of 80 feet per second. Find the highest point reached by the projectile just as it explodes. = = = = = =Question 5. **A ball is thrown vertically upward with an initial velocity of 81 feet per second. If the ball started from a height of 10 feet off the ground, determine the time it will take for the ball to hit the ground. ** =

Phase Three

x^2+4x-32=0
1.)





x= -8,4
3.) Solving Quadratic x^2+4x-32=0



Phase Four

My Quadratic Equation

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