Choose the right relation for I. x² − 18x + 80 = 0 II. y² − 14y + 48 = 0.

x ≥ y. I: (x − 8)(x − 10) = 0 → x = 8, 10. II: (y − 6)(y − 8) = 0 → y = 6, 8. Smallest x = largest y = 8, so x ≥ y.

Choose the right relation for I. $x^{2} - 18 x + 80 = 0$
II. $y^{2} - 14 y + 48 = 0$ .

Competition practiceQuadratic Comparison

(x - 8) (x - 10) = 0

→

x = 8

, 10. II:

(y - 6) (y - 8) = 0

→

y = 6

, 8. Smallest

x

= largest

y = 8

, so

x

≥

y

Answer: D)

x

≥

y

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