let p,q,r be positive integers such that q/p is an integer if p,q,r are in geometric progression and the arithmetic mean of p,q,r is q+5 also
x = p2-p+14/p+1
then[x] is where [.] denotes greater integer function
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Answer:
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Answered by
0
Answer:
a
b
=
b
c
=(integer)b2
ac⇒
c=
a
b2
3
a+b+c
=
b+
2
a+
b+
c=
3b+
6⇒
a−
2b+
c=
6
a−
2b+
a
b2
=
6⇒
1−
a
2b
+
a2
b2
=
a
6
(
a
b
−1)
2=
a
6
⇒
a=
6 only
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