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Given I. $x^{2} - 25 x + 156 = 0$
II. $y^{2} - 9 y + 18 = 0$ , what is the relation between $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 12) (x - 13) = 0

→

x = 12

, 13. II:

(y - 3) (y - 6) = 0

→

y = 3

, 6. Every

x

exceeds every

y

, so

x > y

.

Answer: C)

x > y

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