I. $x^2 - 15x + 44 = 0$ II. $y^2 - 11y - 80 = 0$ What is the relationship between $x$ and $y$?

If x > y
If x ≥ y
If x = y or no relation can be established between x and y.
If x ≤ y

Correct answer: If x = y or no relation can be established between x and y.

Solution

Solving the equations gives $x=11,4$ and $y=16,-5$. Since some combinations satisfy $x<y$ and others satisfy $x>y$, a definite relation cannot be established. Hence the correct option is the one stating no relation can be established.

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