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Solve both equations and determine the relation between $x$ and $y$ . I. $x^{2} - 16 x + 63 = 0$
II. $y^{2} - 10 y + 21 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 9 and

y = 3

or 7; every value of

x

is greater than or equal to every value of

y

, so

x

≥

y

.

Answer: C)

x

≥

y

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