In each question two equations numbered (I) and (II) are given. Solve both the equations and mark the appropriate answer. I. x = 19 2 − 14 2 − 5 3 x =...

Question

In each question two equations numbered (I) and (II) are given. Solve both the equations and mark the appropriate answer.

I. x=19214253x = 19^2 - 14^2 - 5^3

II. (y+14)(y14)=60(y + 14)(y - 14) = 60

What is the relationship between xx and yy?

Options

A.

x = y or no relation can be established

B.

x > y

C.

x < y

D.

<spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo></mo><mi>y</mi></mrow><annotationencoding="application/xtex">xy</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;verticalalign:0.136em;"></span><spanclass="mordmathnormal">x</span><spanclass="mspace"style="marginright:0.2778em;"></span><spanclass="mrel"></span><spanclass="mspace"style="marginright:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.625em;verticalalign:0.1944em;"></span><spanclass="mordmathnormal"style="marginright:0.03588em;">y</span></span></span></span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo>≥</mo><mi>y</mi></mrow><annotation encoding="application/x-tex">x \geq y</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7719em;vertical-align:-0.136em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">≥</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span></span></span></span>

E.

<spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo></mo><mi>y</mi></mrow><annotationencoding="application/xtex">xy</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;verticalalign:0.136em;"></span><spanclass="mordmathnormal">x</span><spanclass="mspace"style="marginright:0.2778em;"></span><spanclass="mrel"></span><spanclass="mspace"style="marginright:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.625em;verticalalign:0.1944em;"></span><spanclass="mordmathnormal"style="marginright:0.03588em;">y</span></span></span></span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo>≤</mo><mi>y</mi></mrow><annotation encoding="application/x-tex">x \leq y</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7719em;vertical-align:-0.136em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">≤</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span></span></span></span>

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