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In the following, solve both equations and choose the correct relation. I. $x^{2} - 13 x + 40 = 0$
II. $y^{2} - 7 y + 10 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

x = 5

, 8. II:

y = 2

, 5. Min

x = 5 =

max

y = 5

, every

x

-root ≥ every

y

-root, so

x

≥

y

.

Answer: A)

x

≥

y

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