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Find the relation between $x$ and $y$ from I. $x^{2} - 11 x + 18 = 0$
II. $y^{2} - 21 y + 108 = 0$ .

Competition practiceQuadratic Comparison

A $x$ ≤ $y$
B $x < y$
C $x$ ≥ $y$
Drelation cannot be established

Step-by-Step Solution

I:

(x - 2) (x - 9) = 0

, so

x = 2

or 9. II:

(y - 9) (y - 12) = 0

, so

y = 9

or 12. The largest

x

(9) equals the smallest

y

(9), so

x

≤

y

.

Answer: A)

x

≤

y

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