1.

If x= 3−√13/2 , what is the value of x power of 2 + 1/ to the power 2​

Answer» <html><body><p><strong>Answer:</strong></p><p>x= </p><p><a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a></p><p>3− </p><p>13</p><p> </p><p> </p><p> </p><p> and </p><p>x</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></p><p> </p><p> = </p><p>3− </p><p>13</p><p> </p><p> </p><p>2</p><p> </p><p> .</p><p>We know, (x+ </p><p>x</p><p>1</p><p> </p><p> ) </p><p>2</p><p> =x </p><p>2</p><p> + </p><p>x </p><p>2</p><p> </p><p>1</p><p> </p><p> +2</p><p>and x </p><p>2</p><p> + </p><p>x </p><p>2</p><p> </p><p>1</p><p> </p><p> =(x+ </p><p>x</p><p>1</p><p> </p><p> ) </p><p>2</p><p> −2.</p><p>Now, x+ </p><p>x</p><p>1</p><p> </p><p> = </p><p>2</p><p>3− </p><p>13</p><p> </p><p> </p><p> </p><p> + </p><p>3− </p><p>13</p><p> </p><p> </p><p>2</p><p> </p><p> = </p><p>2(3− </p><p>13</p><p> </p><p> )</p><p>(3− </p><p>13</p><p> </p><p> ) </p><p>2</p><p> +4</p><p> </p><p> </p><p>= </p><p>2(3− </p><p>13</p><p> </p><p> )</p><p>9+13−6 </p><p>13</p><p> </p><p> +4</p><p> </p><p> = </p><p>2(3− </p><p>13</p><p> </p><p> )</p><p>26−6 </p><p>13</p><p> </p><p> </p><p> </p><p> = </p><p>2(3− </p><p>13</p><p> </p><p> )</p><p>2 </p><p>13</p><p> </p><p> ( </p><p>13</p><p> </p><p> −3)</p><p> </p><p> .</p><p>So x+ </p><p>x</p><p>1</p><p> </p><p> =−2 </p><p>13</p><p> </p><p> </p><p>and (x+ </p><p>x</p><p>1</p><p> </p><p> ) </p><p>2</p><p> =4×13=52.</p><p>x </p><p>2</p><p> + </p><p>x </p><p>2</p><p> </p><p>1</p><p> </p><p> =(x+ </p><p>x</p><p>1</p><p> </p><p> ) </p><p>2</p><p> −2</p><p>=52−2=50.</p></body></html>


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