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In the two equations, I. $x^{2} - 19 x + 90 = 0$
II. $y^{2} - 13 y + 42 = 0$ , find the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

A $x > y$
B $x < y$
CRelation cannot be established
D $x$ ≥ $y$

Step-by-Step Solution

x = 9

or 10;

y = 6

or 7. The smallest

x

(9) exceeds the largest

y

(7), so

x > y

.

Answer: A)

x > y

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