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Solve I. $x^{2} - 27 x + 182 = 0$
II. $y^{2} - 21 y + 108 = 0$ , and compare $x$ with $y$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 13) (x - 14) = 0

→

x = 13

, 14. II:

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

→

y = 9

, 12. Every

x

exceeds every

y

, so

x > y

.

Answer: A)

x > y

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