I. $8x^2 + 58x + 39 = 0$ II. $8y^2 - 14y - 15 = 0$ Choose the correct relation between $x$ and $y$.

if x < y
if x ≤ y
if x > y
if x = y or the relationship cannot be established

Correct answer: if x = y or the relationship cannot be established

Solution

The first equation has roots that are not uniquely specified unless one root is chosen, and the second equation also has two roots. Since different combinations of roots can give different comparisons, the relationship between x and y cannot be established uniquely.

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