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Sagot :
The population of Melonville follows a population growth, and the population of Melonville in 1993 is 201
How to determine the population?
Let the population in 1991 be x².
The 1992 population is
P₂ = y² + 1 = x² + 100
This means that:
x² + 100 = y² + 1
Rewrite as:
y² - x² = 100 - 1
y² - x² = 99
Express as difference of two squares
(y - x)(y + x) = 99
Express 99 as 9 * 11
(y - x)(y + x) = 9 * 11
Rewrite as:
(y - x)(y + x) = (10 - 1) * (10 + 1)
By comparison, we have:
y = 10 and x = 1
So, the populations are:
P₁ = x² --- 1991
P₂ = x² + 100 --- 1992
P₃ = x² +100 +100 --- 1993
Substitute 1 for x
P₃ = 1² +100 +100
Evaluate
P₃ = 201
Hence, the population of Melonville in 1993 is 201
Read more about population growth at:
https://brainly.com/question/20115298
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