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Solve both equations and determine the relationship. I. $x^{2} - 21 x + 104 = 0$
II. $y^{2} - 27 y + 182 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 8

or 13;

y = 13

or 14. The largest

x

equals the smallest

y

and

x

is never larger, so

x

≤

y

.

Answer: B)

x

≤

y

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