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.

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- March 21st 2011, 05:55 PMchris86Real 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. - March 22nd 2011, 03:37 AMHallsofIvy
Is that or in the second formula?

- March 22nd 2011, 06:01 PMchris86
sory,the second formula should be

a(x^4)+b(x^3)+c(x^2)+dx+e=0 - March 23rd 2011, 09:04 AMOpalg
... and is that c+d or d+e in the first formula?