Practice Solutions to Pell's Equation - 4.1.1.2.3.2 | Module 4: Scientific and Technological | Essence of Indian Knowledge Tradition
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4.1.1.2.3.2 - Solutions to Pell's Equation

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is Pell's Equation?

๐Ÿ’ก Hint: Think of the variables x and y.

Question 2

Easy

Who developed the Chakravala method?

๐Ÿ’ก Hint: He was a mathematician from India.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What form does Pell's Equation take?

  • Nxยฒ + 1 = yยฒ
  • Nxยฒ - 1 = yยฒ
  • Nxยฒ + yยฒ = 1

๐Ÿ’ก Hint: Think of the '1' in the equation.

Question 2

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

  • True
  • False

๐Ÿ’ก Hint: Consider his contributions to mathematics.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

๐Ÿ’ก Hint: Start by identifying a base solution pair.

Question 2

Compare the historical significance of Bhaskara IIโ€™s work with modern approaches to Pell's Equation.

๐Ÿ’ก Hint: Focus on how both approaches offer solutions and their relevance in mathematics.

Challenge and get performance evaluation