Roots

For discussing Olympiad Level Algebra (and Inequality) problems
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SANZEED
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Joined:Wed Dec 28, 2011 6:45 pm
Location:Mymensingh, Bangladesh
Roots

Unread post by SANZEED » Wed Mar 07, 2012 12:48 am

If the equation $ax^{2}+(c-b)x+(e-d)=0$ has real roots greater than $1$,then show that
$ax^{4}+bx^{3}+cx^{2}+dx+e=0$
has at least one real root.
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