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Two quadratic equations are given: I. $x^{2} - 9 x + 14 = 0$
II. $y^{2} - 17 y + 72 = 0$ . Which relation between $x$ and $y$ holds?

Competition practiceQuadratic Comparison

A $x > y$
B $x < y$
C $x$ ≥ $y$
Drelation cannot be established

Step-by-Step Solution

I:

(x - 2) (x - 7) = 0

→

x = 2

, 7. II:

(y - 8) (y - 9) = 0

→

y = 8

, 9. Every

x

is less than every

y

, so

x < y

.

Answer: B)

x < y

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