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Work out $x$ and $y$ from I. $x^{2} - 15 x + 54 = 0$
II. $y^{2} - 20 y + 99 = 0$ , then choose the relation.

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 6) (x - 9) = 0

, so

x = 6

or 9. II:

(y - 9) (y - 11) = 0

, so

y = 9

or 11. The largest

x

(9) equals the smallest

y

(9), so

x

≤

y

.

Answer: C)

x

≤

y

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