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Choose the relation after solving I. $x^{2} - 27 x + 182 = 0$
II. $y^{2} - 23 y + 130 = 0$ .

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

, so

x = 13

or 14. II:

(y - 10) (y - 13) = 0

, so

y = 10

or 13. The smallest

x

(13) equals the largest

y

(13), so

x

≥

y

.

Answer: D)

x

≥

y

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