Exercise 6: Consider the equation x" + ax + b = 0, with n E N. Show that the equation has at most three distinct real roots. Show further that ifn is even, then f has at most two distinct real roots. Hint: Use the previous result

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
Question
Exercise 6: Consider the equation x" + ax + b = 0, with n E N. Show that the equation has at most three
distinct real roots. Show further that ifn is even, then f has at most two distinct real roots.
Hint: Use the previous result
Transcribed Image Text:Exercise 6: Consider the equation x" + ax + b = 0, with n E N. Show that the equation has at most three distinct real roots. Show further that ifn is even, then f has at most two distinct real roots. Hint: Use the previous result
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