Given the two quadratic equations: I. x 2 − 15 x + 44 = 0 x^2 - 15x + 44 = 0 x 2 − 15 x + 44 = 0 II. y 2 − 11 y − 80 = 0 y^2 - 11y - 80 = 0 y 2 − 11 y...
Question
Given the two quadratic equations:
I. x2−15x+44=0
II. y2−11y−80=0
Determine the correct relationship between x and y:
Options
x>y
<spanclass="katex"><spanclass="katex−mathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo>≥</mo><mi>y</mi></mrow><annotationencoding="application/x−tex">x≥y</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;vertical−align:−0.136em;"></span><spanclass="mordmathnormal">x</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">≥</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.625em;vertical−align:−0.1944em;"></span><spanclass="mordmathnormal"style="margin−right:0.03588em;">y</span></span></span></span>
x<y
<spanclass="katex"><spanclass="katex−mathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mo>≤</mo><mi>y</mi></mrow><annotationencoding="application/x−tex">x≤y</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="base"><spanclass="strut"style="height:0.7719em;vertical−align:−0.136em;"></span><spanclass="mordmathnormal">x</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">≤</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.625em;vertical−align:−0.1944em;"></span><spanclass="mordmathnormal"style="margin−right:0.03588em;">y</span></span></span></span>
x=y or no relation can be established