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Solve both equations and select the correct relation between $x$ and $y$ . I. $x^{2} = 64$
II. $y^{2} - 17 y + 72 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 8

or −8;

y = 8

or 9. Every value of

x

is at most every value of

y

(max

x = 8 =

min

y

), so

x

≤

y

.

Answer: D)

x

≤

y

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