Mathematics
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OpenStudy (anonymous):
the number of real solutions of x-1/(x^2-25) = 5 - 1/(x^2-25) is?
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OpenStudy (ash2326):
@Yahoo! did you try this?
OpenStudy (anonymous):
i have no idea
OpenStudy (anonymous):
i think i must cross multiply
OpenStudy (ash2326):
Yeah, do that;D
OpenStudy (anonymous):
naah, easier thing,
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OpenStudy (anonymous):
so it will be cubic equation!
OpenStudy (anonymous):
\[x-1/x ^{2}-5\]
OpenStudy (ash2326):
Yeah, it's a cubic.
Could you write what do you get?
OpenStudy (anonymous):
how to solve cubic equation!
OpenStudy (anonymous):
=\[x/(x ^{2}-5) -1/(x ^{2}-5)\]
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OpenStudy (anonymous):
cut -1/x^2-5 from both side
OpenStudy (anonymous):
hey u got my question wrong @mathslover plzz lokk it once again
OpenStudy (anonymous):
x - 1/(x^2-25)
OpenStudy (anonymous):
so u have x/x^2-5=5
x=5x^2-25
OpenStudy (anonymous):
@dg123 @mathslover x - 1/(x^2-25)
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mathslover (mathslover):
oh wait
OpenStudy (anonymous):
ooooh
OpenStudy (anonymous):
then there is only 1 solution tht is 5
OpenStudy (anonymous):
the answer should be 0
OpenStudy (anonymous):
@ash2326 plzz help confused
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OpenStudy (anonymous):
the answer is 0, yeh bcoz the solution u get is 5, but it cant be putted on the denominator or else it will make the denominator =0
OpenStudy (anonymous):
which aint happening
OpenStudy (anonymous):
plzz @dg123 can u show the stepssssss
mathslover (mathslover):
OpenStudy (anonymous):
yeh i am giving
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OpenStudy (anonymous):
x-(1/x^2-5)=5-(1/x^2-5)
add 1/x^2-5 on both sides, u get
x=5
OpenStudy (anonymous):
so according to u it is 1 but it should be 0
OpenStudy (anonymous):
but look at the term 1/x^2-25
if u put x=5, the denominaot turns 0
OpenStudy (maheshmeghwal9):
@Yahoo! would u write the cubic equation which u gt?
mathslover (mathslover):
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OpenStudy (anonymous):
but dividing by zero is not possible, so there is no solution
mathslover (mathslover):
i think that i did the answer @Yahoo! will that be helping u ?
OpenStudy (ash2326):
@Yahoo! when we cancel the terms from both side, we assume that x is not 5, but on solving we get x=5
so there is no real solution for this
OpenStudy (anonymous):
in a nutshell, ( we get one solutio which is 5 but it makes the terms undefined, so there is no solution)