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Prove that there exists a unique real number solution to the equationx +x² – 1 = 0 between x = 2/3 and

Prove that there exists a unique real number solution to the equationx +x² – 1 = 0 between x = 2/3 and

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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**Problem Statement:** Prove that there exists a unique real number solution to the equation \(x^3 + x^2 - 1 = 0\) between \(x = \frac{2}{3}\) and \(x = 1\).
Transcribed Image Text:**Problem Statement:** Prove that there exists a unique real number solution to the equation \(x^3 + x^2 - 1 = 0\) between \(x = \frac{2}{3}\) and \(x = 1\).
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