1. Show that the function p() = x + 4x3 – 9 has two real roots, that is, there exist r1, r2 ER such that ri r2 and %3D p(r1) = 0 = p(r2). (Note: Before you use a theorem, make sure that the assumptions are met.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Show that the function p(x) = x4 + 4x3 – 9 has two real roots, that is, there exist r1, r2 E R such that
ri # r2 and
p(ri) = 0 = p(r2).
(Note: Before you use a theorem, make sure that the assumptions are met.)
Transcribed Image Text:1. Show that the function p(x) = x4 + 4x3 – 9 has two real roots, that is, there exist r1, r2 E R such that ri # r2 and p(ri) = 0 = p(r2). (Note: Before you use a theorem, make sure that the assumptions are met.)
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