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Compare $x$ and $y$ . I. $x^{2} = 49$
II. $y^{2} - 15 y + 56 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

x = 7

or −7. II:

(y - 7) (y - 8) = 0

→

y = 7

, 8. The largest

x

(7) equals the smallest

y

, so

x

≤

y

.

Answer: C)

x

≤

y

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