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Solve both equations and determine the relationship. I. $x^{2} - 20 x + 96 = 0$
II. $y^{2} - 12 y + 32 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 8

or 12;

y = 4

or 8. The smallest

x

equals the largest

y

and

x

is never smaller, so

x

≥

y

.

Answer: D)

x

≥

y

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