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Two equations are given: I. $x^{2} - 49 x + 600 = 0$
II. $y^{2} - 47 y + 552 = 0$ . Which relation is correct?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 24

or 25;

y = 23

or 24.

x

is never less than

y

and

x = y = 24

is possible, so

x

≥

y

.

Answer: B)

x

≥

y

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