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In the two equations below, find the relation between $x$ and $y$ . I. $x^{2} - 15 x + 54 = 0$
II. $y^{2} - 8 y + 12 = 0$

Competition practiceQuadratic Comparison

A $x < y$
B $x$ ≥ $y$
C $x$ ≤ $y$
D $x > y$

Step-by-Step Solution

x = 6

or 9 and

y = 2

or 6; the smallest

x

(6) equals the largest

y

(6), so

x

≥

y

.

Answer: B)

x

≥

y

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