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<html><body><h2 id="content-id-0659843127-2"><b>Quadratic Equation Questions Overview</b></h2><p>Quadratic Equation Questions have a good weightage in the Banking Exam and the type of question asked in Banking exam is similar to the question mentioned below. It has been solved and explained by Gargi.ai Experts and they have tried to elaborate the concept used in Quadratic Equation Questions.</p><h2 id="content-id-8045937126-3"><b>Quadratic Equation Questions</b></h2><p>Direction: In each of these questions, two equations (I) and (II) are given. You have to solve both equations and mark the appropriate answer.
</p><h2 id="content-id-0964853127-4"><b>Question</b></h2><p>I. Roots of the equation: x2 – 7√3 x – 90 = 0

II. Roots of the equation: y2 + 3√7 y – 490 = 0
</p><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 : 40 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>I > II</p>
</li><li style="color:red;"><p>II > I</p>
</li><li style="color:green;"><p>I = II or relationship cannot be determined</p>
</li><li style="color:red;"><p>I ≥ II</p>
</li><li style="color:red;"><p>II ≥ I</p>
</li></ol> <h2 id="content-id-6312784509-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 3</strong> i.e. <strong>I = II or relationship cannot be determined</strong><strong>.</strong></p>

<p>I. x<sup>2</sup> – 7√3 x – 90 = 0</p>

<p>⇒ x<sup>2</sup> – 10√3x + 3√3x – 90 = 0</p>

<p>⇒ (x + 3√3)(x - 10√3)<span style="font-size:10.5px"> </span> = 0</p>

<p>⇒ x = -3√3, 10√3</p>

<p>II. y<sup>2</sup> + 3√7 y – 490 = 0</p>

<p>⇒ y<sup>2</sup> + 10√7x - 7√7x – 490 = 0</p>

<p>⇒ (y - 7√7)((y + 10√7)</p>

<p>⇒ y = 7√7, -10√7</p>

<p>Hence, the relationship cannot be determined.</p>
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The correct answer is Option 3 i.e. I = - Quadratic Equation Questions are asked in Banking exams and your question has been explained by Gargi.ai experts.

I Roots of the equation - Quadratic Equation Questions for Banking

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