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In each equation solve for the variable and compare. I. $x^{2} - 9 x + 18 = 0$
II. $y^{2} - 4 y + 3 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 3

or 6 and

y = 1

or 3. The smallest

x

(3) equals the largest

y

(3), so

x

≥

y

.

Answer: C)

x

≥

y

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