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Given the ff. "proof": Let a=b. a? =ab (A. multiplying both sides by a) a? -b? =ab-b? (B. subtracting b² from both sides) (C. factoring both sides) (D. dividing both sides by a-b) (a+b)(a-b)=b(a-b) (a+b)=b 2b=b (E. substituting a for b on the left side since a=b) and therefore 2=1 (dividing both sides by b). Where did we go wrong? O D O E O A O B

Given the ff. "proof": Let a=b. a? =ab (A. multiplying both sides by a) a? -b? =ab-b? (B. subtracting b² from both sides) (C. factoring both sides) (D. dividing both sides by a-b) (a+b)(a-b)=b(a-b) (a+b)=b 2b=b (E. substituting a for b on the left side since a=b) and therefore 2=1 (dividing both sides by b). Where did we go wrong? O D O E O A O B

Advanced Engineering Mathematics
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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Given the ff. "proof": Let a=b. a? =ab (A. multiplying both sides by a) a? -b? =ab-b? (B. subtracting b² from both sides) (C. factoring both sides) (D. dividing both sides by a-b) (a+b)(a-b)=b(a-b) (a+b)=b 2b=b (E. substituting a for b on the left side since a=b) and therefore 2=1 (dividing both sides by b). Where did we go wrong? O D O E O A O B
Transcribed Image Text:Given the ff. "proof": Let a=b. a? =ab (A. multiplying both sides by a) a? -b? =ab-b? (B. subtracting b² from both sides) (C. factoring both sides) (D. dividing both sides by a-b) (a+b)(a-b)=b(a-b) (a+b)=b 2b=b (E. substituting a for b on the left side since a=b) and therefore 2=1 (dividing both sides by b). Where did we go wrong? O D O E O A O B
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