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Solve both equations and determine the relationship. I. $x^{2} - 7 x + 12 = 0$
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 = 3

or 4;

y = 13

or 14. Every root of

x

is smaller than every root of

y

, so

x < y

.

Answer: D)

x < y

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