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Solve the two equations and determine the relation between $x$ and $y$ .
I. $x^{2} - 7 x + 10 = 0$
II. $y^{2} - 8 y + 15 = 0$

Competition practiceQuadratic Comparison

Arelationship cannot be established
B $x$ ≤ $y$
C $x > y$
D $x < y$

Step-by-Step Solution

x = 2

or 5;

y = 3

or 5. Since

x = 2 < y = 3

but

x = 5 > y = 3

, no fixed relation holds.

Answer: A) relationship cannot be established

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