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In the equations I. $x^{2} - 15 x + 56 = 0$
II. $y^{2} - 9 y + 20 = 0$ , find the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 8 and

y = 4

or 5; since the smallest

x

(7) is greater than the largest

y (5), x > y

.

Answer: B)

x > y

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