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In the two equations, I. $x^{2} - 14 x + 48 = 0$
II. $y^{2} - 10 y + 24 = 0$ , find the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

A $x$ ≥ $y$
B $x$ ≤ $y$
CRelation cannot be established
D $x > y$

Step-by-Step Solution

x = 6

or 8;

y = 4

or 6. Every value of

x

is greater than or equal to every value of

y

, so

x

≥

y

.

Answer: A)

x

≥

y

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