Exam Maths Puzzle Profit and Loss

bobo was waslking down the street one day, minding his own buisness, with a goat came running up to him.she had to go out of town on a buisness trip,and offerd to pay Bobo $500 to

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Exam Other Question

A formula of dimonds price is C=am^2, m - is a dimond's mass, a - is a constant number independent of diamond's mass. So the dimond is cut into two pieces.
1. Find a ratio of the masses of those two pieces, when the sum of the prices of these two pieces equals 5/9 of a whole uncut dimond price.
2. What is a ratio of the masses of those two pieces, when the sum of the prices of these two pieces is lowest?
can you give me a detailed way of how to solve a Parabola through 3 given points? the points are (0,2),(3,0),and (5,2). thx.