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Two quadratic equations are given: I. $x^{2} - 7 x + 10 = 0$
II. $y^{2} - 13 y + 42 = 0$ . How are $x$ and $y$ related?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

x = 2

or 5. II:

y = 6

or 7. Even the larger

x

(5) is below the smaller

y

(6), so

x < y

.

Answer: B)

x < y

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