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Which relation is correct for these equations? I. $x^{2} - 23 x + 132 = 0$
II. $y^{2} - 18 y + 80 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 11) (x - 12) = 0

, so

x = 11

or 12. II:

(y - 8) (y - 10) = 0

, so

y = 8

or 10. Every

x

is bigger, so

x > y

.

Answer: D)

x > y

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