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In each question two equations are given. Solve them and choose the correct relation between $x$ and $y$ . I. $x^{2} - 14 x + 45 = 0$
II. $y^{2} - 7 y + 12 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

x = 5

or 9. II:

y = 3

or 4. Smallest

x

(5) is greater than largest

y

(4), so

x > y

.

Answer: B)

x > y

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