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For the equations I. $x^{2} - 15 x + 54 = 0$
II. $y^{2} - 7 y + 10 = 0$ , which statement about $x$ and $y$ is true?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 6) (x - 9) = 0

→

x = 6

, 9. II:

(y - 2) (y - 5) = 0

→

y = 2

, 5. Every

x

exceeds every

y

, so

x > y

.

Answer: D)

x > y

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