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Solve both equations and choose the correct relation.
I. $x^{2} - 10 x + 21 = 0$
II. $y^{2} - 6 y + 9 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I gives

x = 3

, 7. II gives

y = 3

(double root). So

x = 3

equals

y

and

x = 7

exceeds

y

, meaning

x

≥

y

.

Answer: C)

x

≥

y

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