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Problem
Problem
If
a
,
b
a, b
a
,
b
and
c
c
c
are the three real solutions of the equation
x
log
10
x
+
log
10
x
3
+
3
=
2
x
+
1
−
1
−
1
x
+
1
+
1
x^{\log_{10} x + \log_{10} x^3 + 3} = \frac{2}{\sqrt{x+1}-1} - \frac{1}{\sqrt{x+1}+1}
x
l
o
g
10
x
+
l
o
g
10
x
3
+
3
=
x
+
1
−
1
2
−
x
+
1
+
1
1
where,
a
>
b
>
c
a > b > c
a
>
b
>
c
, then
a
,
b
,
c
a, b, c
a
,
b
,
c
are in a. AP b. GP c. HP d.
a
−
1
+
b
−
1
=
c
−
1
a^{-1} + b^{-1} = c^{-1}
a
−
1
+
b
−
1
=
c
−
1
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