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I. $x^{2} - 7 x + 12 = 0$
II. $y^{2} - 6 y + 9 = 0$ . Find 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 = 3

or 4;

y = 3

(repeated root). The smallest

x

(3) equals

y

, and otherwise

x

is larger, so

x

≥

y

.

Answer: B)

x

≥

y

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