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Equations: I. $x^{2} - 25 x + 156 = 0$
II. $y^{2} - 20 y + 96 = 0$ . What is the relation between $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 12

or 13;

y = 8

or 12. Every

x

is at least every

y

(equal when both are 12), so

x

≥

y

.

Answer: D)

x

≥

y

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