x= 6-√35 find x square + 1/x square
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x = 6-√35 ...(i)
or, 1/x = 6+√35 (after rationalisation)
or, 1/x^2 = (6+√35)^2
now, x^2 = (6-√35)^2
hence, x^2 + 1/x^2 = (6+√35)^2 + (6-√35)^2
= (6)^2+(√35)^2
= 36+35
= 71
or, 1/x = 6+√35 (after rationalisation)
or, 1/x^2 = (6+√35)^2
now, x^2 = (6-√35)^2
hence, x^2 + 1/x^2 = (6+√35)^2 + (6-√35)^2
= (6)^2+(√35)^2
= 36+35
= 71
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