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Mathematics
Problem
The arithmetic mean of two positive numbers
p
p
p
and
q
q
q
equals their geometric mean if and only if a)
p
+
q
=
2
p
q
p+q = 2pq
p
+
q
=
2
pq
b)
p
=
2
q
p = 2q
p
=
2
q
c)
p
=
q
p = q
p
=
q
d)
p
2
+
q
2
=
p
q
p^{2}+q^{2}=pq
p
2
+
q
2
=
pq
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