# Real roots

• Mar 21st 2011, 05:55 PM
chris86
Real roots
If a,b,c,d,e are real numbers such that a(x^2)+(b+c)x+(c+d)=0 has real roots greater than 1, show that
a(x^4)+b(c^3)+c(x^2)+dx+e=0
has at least one real roots.
• Mar 22nd 2011, 03:37 AM
HallsofIvy
Is that $c^3$ or $x^3$ in the second formula?
• Mar 22nd 2011, 06:01 PM
chris86
sory,the second formula should be
a(x^4)+b(x^3)+c(x^2)+dx+e=0
• Mar 23rd 2011, 09:04 AM
Opalg
... and is that c+d or d+e in the first formula?