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In the two equations below, solve for $x$ and $y$ and choose the correct relation. I. $x^{2} - 17 x + 72 = 0$
II. $y^{2} - 11 y + 28 = 0$

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

→

x = 8

, 9. II:

(y - 4) (y - 7) = 0

→

y = 4

, 7. Smallest

x

(8) > largest

y

(7), so

x > y

.

Answer: A)

x > y

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