Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard IX
Mathematics
Algebraic Identities
Question
If
x
−
1
x
=
−
√
3
, then find
x
3
−
1
x
3
.
6
√
3
2
√
3
3
√
3
−
6
√
3
A
−
6
√
3
B
6
√
3
C
3
√
3
D
2
√
3
Open in App
Solution
Verified by Toppr
x
−
1
x
=
−
√
3
Take cube of both sides, we get
(
x
−
1
x
)
3
=
(
−
√
3
)
3
⇒
x
3
−
1
x
3
−
3
⋅
x
⋅
1
x
(
x
−
1
x
)
=
−
3
√
3
by using
(
a
−
b
)
3
=
a
3
−
b
3
−
3
a
b
(
a
−
b
)
⇒
x
3
−
1
x
3
−
3
(
−
√
3
)
=
−
3
√
3
⇒
x
3
−
1
x
3
+
3
√
3
=
−
3
√
3
⇒
x
3
−
1
x
3
=
−
6
√
3
So, option
D
is correct.
Was this answer helpful?
1
Similar Questions
Q1
If
x
−
1
x
=
√
3
, then find the value of
x
3
−
1
x
3
.
View Solution
Q2
If
x
=
3
√
2
+
√
3
,
t
h
e
n
x
3
+
1
x
3
=
View Solution
Q3
If
x
−
1
x
=
−
√
3
, then find
x
3
−
1
x
3
.
View Solution
Q4
If
x
=
2
+
√
3
, find :
x
3
+
1
x
3
.
View Solution
Q5
If
x
=
2
+
√
3
, then
x
3
+
1
x
3
=
__.
View Solution