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Choose the correct relation after solving I. $x^{2} - 2 x - 15 = 0$
II. $y^{2} + 7 y + 12 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I.

(x - 5) (x + 3) = 0

, so

x = 5

or −3. II.

(y + 3) (y + 4) = 0

, so

y = - 3

or −4. The smallest

x

(−3) equals the largest

y

(−3), so

x

≥

y

.

Answer: D)

x

≥

y

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