Matematické Fórum

stuart clark · 27. 05. 2011 09:31

If $f(x)$ is continuous in $[-2007,2007]$ such that $f(x)$ is irrational for $x=[-2007,2007]$ and $f(0)=2+\sqrt{3}+\sqrt{5}$ .Then equation

$f(2007)x^2+2f(0)x+f(2007)=0$ has

(a) only rational roots

(b)only irrational roots

(c)1 rational & 1 irrational

(d)imaginary roots.

Which is the correct option ?

check_drummer

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stuart clark · 27. 05. 2011 19:46

check_drummer I want explanation on the line.

If f is continuous on Some interval h Theres only Irrational Values and Value Has Irrational (f (0)) in Some Point (0) inside this interval, then it is constant.

check_drummer · 27. 05. 2011 20:28

↑ stuart clark:

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Matematické Fórum

#1 27. 05. 2011 09:31

icontinuous function

#2 27. 05. 2011 18:34 — Editoval check_drummer (27. 05. 2011 18:38)

Re: icontinuous function

#3 27. 05. 2011 19:46

Re: icontinuous function

#4 27. 05. 2011 20:28

Re: icontinuous function

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