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Solve both equations and determine the relationship. I. $x^{2} - 16 x + 63 = 0$
II. $y^{2} - 23 y + 132 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 9;

y = 11

or 12. Every root of

x

is smaller than every root of

y

, so

x < y

.

Answer: D)

x < y

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