If n is a natural number less than 100 and k is any whole number, for how many values of n is n2 = 24k + 1?

Question

If n is a natural number less than 100 and k is any whole number, for how many values of n is n2 = 24k + 1?

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Solution 1

To solve the problem, we need to find the values of $n$ such that $n^2 = 24k + 1$ for some whole number $k$ . Here are the steps:

Rewrite the equation: $n^2 = 24k + 1$ This can be rearranged to: $n^2 - 1 = 24k$ $(n - 1)(n + 1) = 24k$
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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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