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National and Regional Contests
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MAA AMC
AMC 12/AHSME
1978 AMC 12/AHSME
1
Find 2/x
Find 2/x
Source: 1978 AHSME Problem 1
May 27, 2014
LaTeX
quadratics
AMC
Problem Statement
If
1
−
4
x
+
4
x
2
=
0
1-\frac{4}{x}+\frac{4}{x^2}=0
1
−
x
4
+
x
2
4
=
0
, then
2
x
\frac{2}{x}
x
2
equals
<
s
p
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c
l
a
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=
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l
a
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x
−
b
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′
>
(
A
)
<
/
s
p
a
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>
−
1
<
s
p
a
n
c
l
a
s
s
=
′
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a
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x
−
b
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′
>
(
B
)
<
/
s
p
a
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>
1
<
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p
a
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c
l
a
s
s
=
′
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a
t
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x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
2
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
−
1
or
2
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
−
1
or
−
2
<span class='latex-bold'>(A) </span>-1\qquad<span class='latex-bold'>(B) </span>1\qquad<span class='latex-bold'>(C) </span>2\qquad<span class='latex-bold'>(D) </span>-1\text{ or }2\qquad <span class='latex-bold'>(E) </span>-1\text{ or }-2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
−
1
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
1
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
−
1
or
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
−
1
or
−
2
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