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Which relation between $x$ and $y$ is correct? I. $x^{2} - 17 x + 72 = 0$
II. $y^{2} - 15 y + 56 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 8) (x - 9) = 0

, so

x = 8

or 9. II:

(y - 7) (y - 8) = 0

, so

y = 7

or 8. Every

x

is at least every

y

(8 = 8 possible), so

x

≥

y

.

Answer: C)

x

≥

y

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