6. (a) Prove that f(x)=z³-² +2 has no roots in Q.
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
![12:14
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6. (a) Prove that f(x)= x³ - x² + 2 has no roots in Q.
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5G UC ll 8%
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Transcribed Image Text:12:14
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6. (a) Prove that f(x)= x³ - x² + 2 has no roots in Q.
3
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5G UC ll 8%
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Where did -2x+2x come from? Please explain. Thank you
![온
→ x3 + x2-2x2 - 2x+2x+2=0](https://content.bartleby.com/qna-images/question/30761ad5-6d22-4ff4-adb6-4f166a7ab52a/6985a8a6-1a5a-49c5-a210-317d5d64790c/r6x1jd6_thumbnail.jpeg)
Transcribed Image Text:온
→ x3 + x2-2x2 - 2x+2x+2=0
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