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Solve both equations and compare $x$ and $y$ . I: $x^{2} - 12 x + 32 = 0$ . II: $y^{2} - 6 y + 8 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 4

or 8 and

y = 2

or 4; every value of

x

is greater than or equal to every value of

y

, so

x

≥

y

.

Answer: C)

x

≥

y

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