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Determine the relation between $x$ and $y$ from I. $x^{2} - 17 x + 70 = 0$
II. $y^{2} - 23 y + 130 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 10 and

y = 10

or 13. Every

x

is at most every

y

, with equality at 10, so

x

≤

y

.

Answer: A)

x

≤

y

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