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Solve I. $x^{2} - 10 x + 21 = 0$
II. $y^{2} - 20 y + 99 = 0$ , then choose 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 - 3) (x - 7) = 0

, so

x = 3

or 7. II.

(y - 9) (y - 11) = 0

, so

y = 9

or 11. Even the largest

x

(7) is below the smallest

y

(9), so

x < y

.

Answer: C)

x < y

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