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Determine how $x$ and $y$ compare. I. $x^{2} - 21 x + 108 = 0$
II. $y^{2} - 25 y + 156 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 9) (x - 12) = 0

→

x = 9

, 12. II:

(y - 12) (y - 13) = 0

→

y = 12

, 13. The largest

x

equals the smallest

y

(12), so

x

≤

y

.

Answer: B)

x

≤

y

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