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In the two equations below, find the relation between $x$ and $y$ . I. $x^{2} - 13 x + 40 = 0$
II. $y^{2} - 3 y + 2 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 5

or 8 and

y = 1

or 2; the smallest

x

(5) is greater than the largest

y

(2), so

x > y

.

Answer: D)

x > y

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