Question

If x²=2√3 then x²+1/x²=?Options: a. 14 b. -14 c. 2 d. -2

Answer 1

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x = 2 + √3            x² = 4+3+4√3 = 7 + 4 √3

1/x = (2-√3)/[(2+√3)(2-√3)] = 2 - √3
1/x² =  4 + 3 - 4 √3 = 7 - 4 √3

x² + 1/x²  =  14