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netkid07 (2019)

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if f(x) is a continuous function and f(x) is an element of Q where Q is a rational number then find the roots of the equation:
 
f(2)x^2 + f(6)x + f(9) = 0
 
given
f(10)=5
 
plz try and solve or at least reply 

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netkid07 (2019)

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r there no brainies in goiit ??

Who says nothing is impossible.

I've been doing nothing for years !!..............


I know KUNG FU KARATE
and 47 other dangerous words.............

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aditya_arora04 (1077)

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Well,
 
is the answer -1, 4/3
 
 
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netkid07 (2019)

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how ??

Who says nothing is impossible.

I've been doing nothing for years !!..............


I know KUNG FU KARATE
and 47 other dangerous words.............

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netkid07 (2019)

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i don't hav answer with me

Who says nothing is impossible.

I've been doing nothing for years !!..............


I know KUNG FU KARATE
and 47 other dangerous words.............

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aditya_arora04 (1077)

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Well, its just a guess !!!!
 
 
I have used the hit and trial method.
 
Yhe only expression for f(x) through which i was getting real roots was f(x) = x-5
 
And thats how i got the answer !!!!!
 
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netkid07 (2019)

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experts, where are you ??

Who says nothing is impossible.

I've been doing nothing for years !!..............


I know KUNG FU KARATE
and 47 other dangerous words.............

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thedumbheadwithnobrain (887)

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put it on expert poll ,its not on it
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netkid07 (2019)

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how can i put it there ??

Who says nothing is impossible.

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thedumbheadwithnobrain (887)

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this question is not on expert poll and ask in expert option,this is in community option
 
ask again the same question
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netkid07 (2019)

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okay

Who says nothing is impossible.

I've been doing nothing for years !!..............


I know KUNG FU KARATE
and 47 other dangerous words.............

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popat.bp (13)

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as f(x) can have only rational values it will be constant function.f(2),f(6),f(9)=5.Eqn. will be reduced to x^2+x+1 whose roots will come out to be imaginary..plz tell if i'm right.
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netkid07 (2019)

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mr popat

f(x) is not constant, it is continuous
also tell how u assumed it constant

Who says nothing is impossible.

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and 47 other dangerous words.............

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popat.bp (13)

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if f(x) belongs to rational numbers it means that it is a constant function(equal to 5 which is ratinal) because if the function depends on x then it will give you rational as well as irrational values.
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