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Equation I is $x^{2} - 21 x + 110 = 0$ and equation II is $y^{2} - 16 y + 63 = 0$ . How do $x$ and $y$ compare?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 10

or 11 and

y = 7

or 9. The smallest

x

(10) exceeds the largest

y

(9), so

x > y

.

Answer: A)

x > y

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