Practice Solutions To Indeterminate Equations (4.1.1.2.1.4) - Scientific and Technological
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Solutions to Indeterminate Equations

Practice - Solutions to Indeterminate Equations

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Practice Questions

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Question 1 Easy

What is a linear indeterminate equation?

💡 Hint: Think of the general form ax + by = c.

Question 2 Easy

Define the Kuttaka method.

💡 Hint: Consider its creator, Aryabhata.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the term 'indeterminate' in equations mean?

A single solution
Multiple solutions
No solution

💡 Hint: Think about the general forms of these equations.

Question 2

True or False: The Kuttaka method is used to simplify indeterminate equations.

True
False

💡 Hint: Consider what the method aims to achieve.

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Challenge Problems

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Challenge 1 Hard

Using the Kuttaka method, solve for integer solutions in the equation 4x + 6y = 48 and state all combinations for (x, y).

💡 Hint: Start by isolating one variable, then see how the other reacts.

Challenge 2 Hard

If the coefficient a in the equation ax + by = c is changed while keeping c constant, explain how it affects the possible integer solutions.

💡 Hint: Consider how changing one coefficient impacts the balance of the whole equation.

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