Given I. x² = 81 II. y² − 18y + 81 = 0, which statement about x and y is true?

x ≤ y. I gives x = 9 or −9. II is (y − 9)² = 0, so y = 9. x is never more than y, and x = y is possible, so x ≤ y.

Given I. $x^{2} = 81$
II. $y^{2} - 18 y + 81 = 0$ , which statement about $x$ and $y$ is true?

Competition practiceQuadratic Comparison

I gives

x = 9

or −9. II is

(y - 9)^{2} = 0

, so

y = 9. x

is never more than

y

, and

x = y

is possible, so

x

≤

y

Answer: A)

x

≤

y

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