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Find both roots of each equation and then the relation: I. $x^{2} - 35 x + 306 = 0$
II. $y^{2} - 41 y + 414 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 17

or 18;

y = 18

or 23.

x

is never more than

y

and

x = y = 18

is possible, so

x

≤

y

.

Answer: D)

x

≤

y

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