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For I. $x^{2} - 17 x + 72 = 0$
II. $3 y^{2} - 20 y + 32 = 0$ , which relation between $x$ and $y$ is correct?

Competition practiceQuadratic Comparison

A $x > y$
B $x$ ≥ $y$
C $x < y$
DRelationship cannot be established

Step-by-Step Solution

I:

(x - 8) (x - 9) = 0

→

x = 8

, 9. II:

(3 y - 8) (y - 4) = 0

→

y = 8/3

, 4. Every

x

is greater than every

y

, so

x > y

.

Answer: A)

x > y

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