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Mathematics
Problem
9. If
a
a
a
and
b
b
b
are the roots of
x
2
−
3
x
+
p
=
0
x^{2}-3 x+p=0
x
2
−
3
x
+
p
=
0
and
c
c
c
,
d
d
d
are roots of
x
2
−
12
x
+
q
=
0
x^{2}-12 x+q=0
x
2
−
12
x
+
q
=
0
, where
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
form a G.P. Prove that
(
q
+
p
)
:
(
q
−
p
)
=
17
:
15
(q+p):(q-p)=17: 15
(
q
+
p
)
:
(
q
−
p
)
=
17
:
15
.
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