Find two integers a and b between 1 and 20 such a a^2+b^2 is a perfect square

Mathematics

1 answer:

guajiro [1.7K]3 years ago

8 0

4,9,16 are all options that ratio to 1,2,3

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Tju [1.3M]

<h3>Answer: 8</h3>

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Work Shown:

$y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\$