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In the two equations below, find the relation between $x$ and $y$ . I. $x^{2} - 17 x + 72 = 0$
II. $y^{2} - 9 y + 20 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 8

or 9 and

y = 4

or 5; the smallest

x

(8) exceeds the largest

y

(5), so

x > y

.

Answer: B)

x > y

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