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Given I. $x^{2} - 18 x + 77 = 0$
II. $y^{2} - 10 y + 21 = 0$ , 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 = 7

or 11;

y = 3

or 7.

x

is never below

y

and

x = y = 7

is possible, so

x

≥

y

.

Answer: C)

x

≥

y

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