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Determine the relation between $x$ and $y$ from I. $x^{2} - 19 x + 90 = 0$
II. $y^{2} - 7 y - 8 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 9) (x - 10) = 0

→

x = 9

, 10. II:

(y - 8) (y + 1) = 0

→

y = 8

, −1. Every

x

exceeds every

y

, so

x > y

.

Answer: A)

x > y

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