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Consider the following "proof" that 1 = -1. What is the first step that is incorrect? Step 1 : 구 %3D 2. Step 2 : Take the square root of both sides to obtain = 4. Step 3 : Then, = A. Step 4 : So, =. %3D Step 5 : Multiply each side by i to obtain =. Step 6 : Simplify each fraction: = i? and= 1. Then, since i? = -1, we have the final result: -1 = 1. Note: The complex number i is defined as i =v-1. %3D

Consider the following "proof" that 1 = -1. What is the first step that is incorrect? Step 1 : 구 %3D 2. Step 2 : Take the square root of both sides to obtain = 4. Step 3 : Then, = A. Step 4 : So, =. %3D Step 5 : Multiply each side by i to obtain =. Step 6 : Simplify each fraction: = i? and= 1. Then, since i? = -1, we have the final result: -1 = 1. Note: The complex number i is defined as i =v-1. %3D

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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Consider the following "proof" that 1 = -1. What is the first step that is incorrect? Step 1 : 구 %3D. Step 2 : Take the square root of both sides to obtain = /4. Step 3 : Then, 규=D을 %3D Step 4 : So, =!. Step 5 : Multiply each side by i to obtain =. Step 6 : Simplify each fraction: = i? and = 1. Then, since i? = -1, we have the final result: -1 = 1. Note: The complex number i is defined as i =v-1.
Transcribed Image Text:Consider the following "proof" that 1 = -1. What is the first step that is incorrect? Step 1 : 구 %3D. Step 2 : Take the square root of both sides to obtain = /4. Step 3 : Then, 규=D을 %3D Step 4 : So, =!. Step 5 : Multiply each side by i to obtain =. Step 6 : Simplify each fraction: = i? and = 1. Then, since i? = -1, we have the final result: -1 = 1. Note: The complex number i is defined as i =v-1.
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