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Two equations are given. Solve them and choose the correct relation. I. $x^{2} - x - 6 = 0$
II. $y^{2} - 5 y + 6 = 0$

Competition practiceQuadratic Comparison

A $x < y$
B $x$ ≤ $y$
Cno relation can be established
D $x > y$

Step-by-Step Solution

x = 3

or −2;

y = 2

or 3. Since

x = 3

can exceed

y

while

x = - 2

is less than

y

, no fixed relation holds.

Answer: C) no relation can be established

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