Prove that r+ 4r +3 = 0 has eractly one real root using the outline below. (a) Use IVT to prove that the equation r + 4x +3 = 0 has a real root. (b) Use MVT to prove that the equation r + 4x +3 = 0 has at most one real root. (c) Conclude that the equation r + 4x +3 = 0 has ezactly one real root.
Prove that r+ 4r +3 = 0 has eractly one real root using the outline below. (a) Use IVT to prove that the equation r + 4x +3 = 0 has a real root. (b) Use MVT to prove that the equation r + 4x +3 = 0 has at most one real root. (c) Conclude that the equation r + 4x +3 = 0 has ezactly one real root.
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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Transcribed Image Text:Prove that r+ 4x + 3 = 0 has eractly one real root using the outline below.
(a) Use IVT to prove that the equation a+ 4x +3 = 0 has a real root.
(b) Use MVT to prove that the equation a5 + 4x + 3 = 0 has at most one real root.
(c) Conclude that the equation r³ + 4x + 3 = 0 has exactly one real root.
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