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If x = 3 - 2√2 , find x² + 1/x²​

Answer» <html><body><p><strong></strong></p><p><strong></strong></p><p><strong></strong></p><p><strong></strong></p><p><strong></strong></p><p><em><strong> <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> = 3 - <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>√2 ----( <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> )</strong></em></p><p><em><strong>1/x = 1/( 3 - 2√2 )</strong></em></p><p><em><strong>= ( 3 + 2√2 ) / [1/x = 1/( 3 - 2√2</strong></em></p><p><em><strong>= ( 3 + 2√2 ) / [ 3² - ( 2√2 )² ]</strong></em></p><p><em><strong>= ( 3 + 2√2 ) / ( 9 - 8 )</strong></em></p><p><em><strong>= 3 + 2√2 ----( 2 )</strong></em></p><p><em><strong>x + 1/x = 3 - 2√2 + 3 + 2√2</strong></em></p><p><em><strong>= <a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a> ------( 3 )</strong></em></p><p><em><strong>x - 1/x = 3 - 2√2 - ( 3 + 2√2 )</strong></em></p><p><em><strong>= 3 - 2√2 - 3 - 2√2</strong></em></p><p><em><strong>= - 4√2 ---- ( 4 )</strong></em></p><p><em><strong>Now ,</strong></em></p><p><em><strong>x² - 1/x² = ( x + 1/x ) ( x - 1/x )</strong></em></p><p><em><strong>= 6 × ( - 4√2 )</strong></em></p><p><em><strong>[ From ( 3 ) and ( 4 ) ]</strong></em></p><p><em><strong>= - 24√2</strong></em></p><h2><u><em><strong>HOPE IT HELPS</strong></em></u></h2><h2><u><em></em></u></h2></body></html>


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