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Use the formula (x+1/x)+2 for x^{2} +1/ x^{2} and (x+1/x)-2 for the second one.
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I have used this formula but the answer is coming wrong
X = 2-√3 ⇒ 1/x = 2+√3. Then you have, x²+1/x²=(x+1/x)²-2=14. And x²-1/x² = (x+1/x)(x-1/x) =-8√3
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