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Find $x$ and $y$ from I. $x^{2} - 27 x + 182 = 0$
II. $y^{2} - 21 y + 108 = 0$ , then choose the correct relation.

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 13

or 14 and

y = 9

or 12. The smallest

x

(13) exceeds the largest

y

(12), so

x > y

.

Answer: D)

x > y

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