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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Is that $\displaystyle c^3$ or $\displaystyle x^3$ in the second formula?
sory,the second formula should be a(x^4)+b(x^3)+c(x^2)+dx+e=0
... and is that c+d or d+e in the first formula?
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