How are x and y related if I. x² − 8x + 15 = 0 II. y² − 3y + 2 = 0?

x > y. I: (x − 3)(x − 5) = 0 ⇒ x = 3, 5. II: (y − 1)(y − 2) = 0 ⇒ y = 1, 2. Every x exceeds every y, so x > y.

How are $x$ and $y$ related if I. $x^{2} - 8 x + 15 = 0$
II. $y^{2} - 3 y + 2 = 0$ ?

Competition practiceQuadratic Comparison

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

⇒

x = 3

, 5. II:

(y - 1) (y - 2) = 0

⇒

y = 1

, 2. Every

x

exceeds every

y

, so

x > y

Answer: A)

x > y

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