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Work out the relation between $x$ and $y$ given I. $x^{2} - 25 x + 156 = 0$
II. $y^{2} - 18 y + 77 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 12) (x - 13) = 0

, so

x = 12

or 13. II:

(y - 7) (y - 11) = 0

, so

y = 7

or 11. The smallest

x

(12) exceeds the largest

y

(11), so

x > y

.

Answer: C)

x > y

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