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Solve I. $x^{2} - 20 x + 99 = 0$
II. $y^{2} - 17 y + 72 = 0$ , then choose the correct relation.

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 9) (x - 11) = 0

→

x = 9

, 11. II:

(y - 8) (y - 9) = 0

→

y = 8

, 9. The smallest

x

equals the largest

y

(9), so

x

≥

y

.

Answer: B)

x

≥

y

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