Find The Value Of x²+1/x²

1.	Find The Value Of x²+1/x²
Answer» <html><body><p><strong>Answer:</strong></p><p></p><p>Heya ☺</p><p></p><p>Given that</p><p></p><p>x = <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> + √3</p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>/x = 1/2 + √3</p><p></p><p>= 1 × (2 - √3)/(2 + √3) (2 - √3)</p><p></p><p>= (2 - √3)/(2^2 - √3^2)</p><p></p><p>= (2 - √3)/<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> - 3</p><p></p><p>= (2 - √3)</p><p></p><p>Therefore ,</p><p></p><p>x^2 = (2 + √3)</p><p></p><p>= (2)^2 + (√3)^2 + 2 × 2 × √3</p><p></p><p>= 4 + 3 + 4√3</p><p></p><p>= <a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a> + 4√3</p><p></p><p>1/x^2 = (2 - √3)^2</p><p></p><p>= (2)^2 + (√3)^2 - 2 × 2 × √3</p><p></p><p>= 4 + 3 - 4√3</p><p></p><p>= 7 - 4√3</p><p></p><p>x^2 + 1/x^2</p><p></p><p>= (7 + 4√3) + (7 - 4√3</p><p></p><p></p><p>THANKS </p><p></p></body></html>

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