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Solve I. $x^{2} - 39 x + 380 = 0$
II. $y^{2} - 37 y + 342 = 0$ , 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.

(x - 19) (x - 20) = 0

, so

x = 19

or 20. II.

(y - 18) (y - 19) = 0

, so

y = 18

or 19. The smallest

x

(19) equals the largest

y

(19), so

x

≥

y

.

Answer: D)

x

≥

y

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