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Find how $x$ and $y$ compare after solving: I. $x^{2} - 33 x + 272 = 0$
II. $y^{2} - 35 y + 306 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I.

(x - 16) (x - 17) = 0

, so

x = 16

or 17. II.

(y - 17) (y - 18) = 0

, so

y = 17

or 18. The largest

x

(17) equals the smallest

y

(17), so

x

≤

y

.

Answer: C)

x

≤

y

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