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OpenStudy (anonymous):
Prove that x^4+x^2=1
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OpenStudy (anonymous):
whats x ?
OpenStudy (anonymous):
variable :P
OpenStudy (anonymous):
i mean is it cube root of unity ? or imaginary number i or something else ?
if not, then u just said its variable, so x^4+x^2 can't equal 1.
OpenStudy (anonymous):
or do u need to solve for x ???
OpenStudy (anonymous):
I don't know that is what I am trying to figure out... this was the question in my paper and I left it blank
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OpenStudy (anonymous):
just prove it to 1
OpenStudy (anonymous):
by means of anything
OpenStudy (anonymous):
good luck with that :)
OpenStudy (anonymous):
what?
OpenStudy (anonymous):
i think question is incomplete...we can solve for x, but can't prove that =1...
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OpenStudy (anonymous):
PROVE ???
OpenStudy (anonymous):
x= 1 :P
OpenStudy (anonymous):
nopes, x not =1 :P
OpenStudy (anonymous):
then x= -1 :P
OpenStudy (anonymous):
nopes, x not =-1 :P
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OpenStudy (anonymous):
x^4 +x^2=1 =>
=> x^4 +x^2 -1 = 0
=> (x +0.786)*(x -0.786)*(x^2 +1.618) = 0
Real solutions:
Root 1: -0.786
Root 2: 0.786
Complex roots:
Root 3: 0+1.272 * i
Root 4: 0-1.272 * i
OpenStudy (anonymous):
are u solving that for x ,saura ?
OpenStudy (anonymous):
there you go ^^
OpenStudy (anonymous):
u copied that ^
OpenStudy (anonymous):
yeah should i give the source ? :P
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OpenStudy (anonymous):
it is equal to 1
OpenStudy (anonymous):
take a screenshot of your question
OpenStudy (anonymous):
|dw:1353238271333:dw|Looks like no solution
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