0.10 Find the error in the following proof that 2 = 1. Consider the equation a = b. Multiply both sides by a to obtain a² = ab. Subtract 6² from both sides to get a² - b² = ab-b². Now factor each side, (a+b)(a−b) = b(a - b), and divide each side by (a-b) to get a+b= b. Finally, let a and bequal 1, which shows that 2 = 1.
0.10 Find the error in the following proof that 2 = 1. Consider the equation a = b. Multiply both sides by a to obtain a² = ab. Subtract 6² from both sides to get a² - b² = ab-b². Now factor each side, (a+b)(a−b) = b(a - b), and divide each side by (a-b) to get a+b= b. Finally, let a and bequal 1, which shows that 2 = 1.
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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Can you please help me with this problem because I don't understand this problem. Can you please do this step by step and can you give an explanation as well so i can follow along and see how you did so i can understand it better.
Transcribed Image Text:0.10 Find the error in the following proof that 2 = 1.
Consider the equation a = b. Multiply both sides by a to obtain a² = ab. Subtract
6² from both sides to get a² - b² = ab-b². Now factor each side, (a+b)(a−b) =
b(a - b), and divide each side by (a-b) to get a+b= b. Finally, let a and bequal 1,
which shows that 2 = 1.
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