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Solve both equations and choose the correct relation. I. $x^{2} - 17 x + 72 = 0$
II. $y^{2} - 14 y + 48 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 8) (x - 9) = 0

→

x = 8

, 9. II:

(y - 6) (y - 8) = 0

→

y = 6

, 8. The smallest

x

equals the largest

y

(8), so

x

≥

y

.

Answer: C)

x

≥

y

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