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Which relation holds between $x$ and $y$ ? I. $x^{2} - 19 x + 90 = 0$
II. $y^{2} + 3 y - 40 = 0$

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

, so

x = 9

or 10. II:

(y + 8) (y - 5) = 0

, so

y = - 8

or 5. Every

x

is greater than every

y

, so

x > y

.

Answer: A)

x > y

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