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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1982 AMC 12/AHSME
20
Number of Solutions
Number of Solutions
Source:
January 17, 2006
Problem Statement
The number of pairs of positive integers
(
x
,
y
)
(x,y)
(
x
,
y
)
which satisfy the equation
x
2
+
y
2
=
x
3
x^2+y^2=x^3
x
2
+
y
2
=
x
3
is
(A)
0
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
1
(C)
2
(D)
not finite
(E)
none of these
\textbf {(A) } 0 \qquad <span class='latex-bold'>(B) </span> 1 \qquad \textbf {(C) } 2 \qquad \textbf {(D) } \text{not finite} \qquad \textbf {(E) } \text{none of these}
(A)
0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
1
(C)
2
(D)
not finite
(E)
none of these
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