If x+1/x=√3 then the value of x^18+...
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If ( x+frac{1}{x}=sqrt{3} ) then the value of ( x^{18}+x^{12}+x^{6}+1 ) is:
(A) 0
(B) 1
(C) 2
(D) 3

JEE/Engineering Exams
Maths
Solution
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If x+1/x=√3 then the value of x^18+x^12+x^6+1 is:
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( if x+frac{1}{x}=sqrt{3}: x^{6}=-1 )
( (-1)^{3}+(-1)^{2}-1+1=0 )

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