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Decide the relation between $x$ and $y$ from I. $x^{2} - 41 x + 420 = 0$
II. $y^{2} - 43 y + 462 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I.

(x - 20) (x - 21) = 0

, so

x = 20

or 21. II.

(y - 21) (y - 22) = 0

, so

y = 21

or 22. The largest

x

(21) equals the smallest

y

(21), so

x

≤

y

.

Answer: B)

x

≤

y

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