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Solve I. $2 x^{2} - 19 x + 45 = 0$
II. $y^{2} - 5 y + 4 = 0$ , then pick the correct relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(2 x - 9) (x - 5) = 0

, so

x = 4.5

or 5. II:

(y - 1) (y - 4) = 0

, so

y = 1

or 4. The smallest

x

(4.5) exceeds the largest

y

(4), so

x > y

.

Answer: B)

x > y

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