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Two equations are given. I. $x^{2} - 17 x + 70 = 0$
II. $y^{2} - 13 y + 42 = 0$ . Which relation between $x$ and $y$ is correct?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 7) (x - 10) = 0

→

x = 7

, 10. II:

(y - 6) (y - 7) = 0

→

y = 6

, 7. Every

x

is at least every

y

(7 = 7 is possible), so

x

≥

y

.

Answer: C)

x

≥

y

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