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Mathematics
Problem
If two positive real numbers
a
a
a
and
b
b
b
have equal arithmetic mean and geometric mean, which of the following must be true? a)
a
>
b
a>b
a
>
b
b)
a
b
=
1
ab=1
ab
=
1
c)
a
=
b
a=b
a
=
b
d)
a
+
b
=
1
a+b=1
a
+
b
=
1
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