The sum of the squares of two consecutive natural numbers is 41. Find the numbers.

Question

The sum of the squares of two consecutive natural numbers is 41. Find the numbers.
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Solution 1

Sure, let's solve this step by step.

Step 1: Let's denote the two consecutive natural numbers as n and n+1.

Step 2: According to the problem, the sum of the squares of these two numbers is 41. So, we can write the equation as:

n^2 + (n+1)^2 = 41

Step 3: Expand the equation:

n^2 + n^2 + 2n + 1 = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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