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Solve both equations and compare $x$ and $y$ . I: $x^{2} - 17 x + 72 = 0$ . 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 = 8

or 9 and

y = 2

or 4; the smallest

x

(8) exceeds the largest

y

(4), so

x > y

.

Answer: C)

x > y

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