Practice Solutions To Pell's Equation (4.1.1.2.3.2) - Scientific and Technological
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Solutions to Pell's Equation

Practice - Solutions to Pell's Equation

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Pell's Equation?

💡 Hint: Think of the variables x and y.

Question 2 Easy

Who developed the Chakravala method?

💡 Hint: He was a mathematician from India.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What form does Pell's Equation take?

Nx² + 1 = y²
Nx² - 1 = y²
Nx² + y² = 1

💡 Hint: Think of the '1' in the equation.

Question 2

True or False: Bhaskara II is known for developing the Chakravala method.

True
False

💡 Hint: Consider his contributions to mathematics.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve Pell's Equation for N=3 using the Chakravala method and describe your steps.

💡 Hint: Start by identifying a base solution pair.

Challenge 2 Hard

Compare the historical significance of Bhaskara II’s work with modern approaches to Pell's Equation.

💡 Hint: Focus on how both approaches offer solutions and their relevance in mathematics.

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Reference links

Supplementary resources to enhance your learning experience.