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Solve both equations and determine the relationship. I. $x^{2} - 10 x + 21 = 0$
II. $y^{2} - 22 y + 117 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 3

or 7;

y = 9

or 13. Every root of

x

is smaller than every root of

y

, so

x < y

.

Answer: A)

x < y

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