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Compare the roots: I. $x^{2} - 4 x + 3 = 0$
II. $y^{2} - 12 y + 35 = 0$ . Which relation holds between $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I gives

x = 1

or 3. II gives

y = 5

or 7. Every

x

is smaller than every

y

, so

x < y

.

Answer: A)

x < y

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