If x=2-sqrt3 find x^2+1/x^2

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asked Jul 23, 2018 in Class VIII Maths by Ayush Padhy (16 points)

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1 Answer

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answered Sep 29, 2018 by sneha25 Pro (115 points)
If x= 2+sqrt3
then
1/x=2-sqrt3 (by rationaliztion)
then (x+1/x)^2 = X^2+(1/X)^2 +2*x*(1/X)
that is (2+sqrt3 +2-sqrt3)^2=x^2 +(1/x)^2+2
4^2 -2=x^2+(1/x)^2
i.e, 14 is the answer

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