Answered: Let b a natural number and q1, q2, r1,…

Let b a natural number and q1, q2, r1, r2 integers with 0 ≤ r1 < b and 0 ≤ r2 < b such that q1b + r1 = q2b+ r2 then q1 = q2 and r1 = r2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

How do I prove:

Let b a natural number and q₁_,q_2,r₁, r₂integers with 0 ≤ r₁ < b and
0 ≤ r₂ < b such that q₁b + r₁= q₂b₊r₂then q₁ = q₂ and r₁ = r₂.

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