In each question, two equations numbered (I) and (II) are given. Solve both the equations and determine the correct relationship between x and y . (I)...

Question

In each question, two equations numbered (I) and (II) are given. Solve both the equations and determine the correct relationship between x and y.

(I) x2+14x+45=0x^2 + 14x + 45 = 0

(II) ( 3y^2 - y - 10 = 0:

Options

A.

x=yx = y or no relation can be established

B.

x>yx > y

C.

x<yx < y

D.

x<spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo></mo></mrow><annotationencoding="application/xtex"></annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;verticalalign:0.136em;"></span><spanclass="mrel"></span></span></span></span>yx <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>≥</mo></mrow><annotation encoding="application/x-tex">\geq</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="mrel">≥</span></span></span></span> y

E.

x<spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo></mo></mrow><annotationencoding="application/xtex"></annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;verticalalign:0.136em;"></span><spanclass="mrel"></span></span></span></span>yx <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>≤</mo></mrow><annotation encoding="application/x-tex">\leq</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="mrel">≤</span></span></span></span> y

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