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Compare $x$ and $y$ if I. $x^{2} + 19 x + 90 = 0$
II. $y^{2} + 13 y + 42 = 0$ .

Competition practiceQuadratic Comparison

A $x$ ≤ $y$
B $x > y$
CRelation cannot be established
D $x < y$

Step-by-Step Solution

I:

(x + 9) (x + 10) = 0

, so

x = - 9

or −10. II:

(y + 6) (y + 7) = 0

, so

y = - 6

or −7. The largest

x

(−9) is less than the smallest

y

(−7), so

x < y

.

Answer: D)

x < y

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