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<html><body><h2 id="content-id-3527084916-2"><b>Algebra Questions Overview</b></h2><p>Algebra Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Algebra Questions.</p><h2 id="content-id-0759361824-3"><b>Question On Algebra </b></h2>If x2 - √7x + 1 = 0, then what is the value of x5 + (rac{1}{x^5})?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 31 Seconds </h3></div></div><h2 id="content-id-1352487096-4"><b> Algebra Questions Options</b></h2><ol><li><p>21√7</p>
</li><li><p>25√7</p>
</li><li><p>19√7</p>
</li><li><p>27√7</p>
</li></ol> <h2 id="content-id-9826135074-5"><b> Algebra Questions Solution</b></h2><p> The correct answer is <strong>option 3</strong> i.e. <strong>19√7</strong></p>

<p>x<sup>2</sup> - <strong>√</strong>7x + 1 = 0</p>

<p>On dividing by x on both sides we get,</p>

<p>⇒ x - <strong>√</strong>7 + 1/x = 0</p>

<p>⇒ x + 1/x = <strong>√</strong>7.........(1)</p>

<p>on squaring both sides we get,</p>

<p>⇒ x<sup>2</sup> + 1/x<sup>2</sup> = 7 - 2</p>

<p>⇒ x<sup>2</sup> + 1/x<sup>2</sup> = 5.........(3)</p>

<p>On cubing both sides in equation 1 we get,</p>

<p>⇒ x<sup>3</sup> + 1/x<sup>3</sup> + 3(x + 1/x) = 7<strong>√</strong>7.</p>

<p>⇒ x<sup>3</sup> + 1/x<sup>3</sup> = 4<strong>√</strong>7...........(4)</p>

<p>Now lets multiply (3) with (4) we get,</p>

<p>x<sup>5</sup> + 1/x<sup>5</sup> + x + 1/x= 20<strong>√</strong>7</p>

<p>x<sup>5</sup> + 1/x<sup>5</sup>  = 20<strong>√</strong>7 - <strong>√</strong>7 = 19<strong>√</strong>7.</p>
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If x2 - 7x 1 0 - Algebra Questions for Ssc Cgl

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