1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Rationalisation
If x = 9-4√...
Question
If
x
=
9
−
4
√
5
, find
x
2
−
1
x
2
and
x
3
−
1
x
3
Open in App
Solution
x
=
9
−
4
√
5
1
x
=
9
+
4
√
5
(
9
−
4
√
5
)
(
9
+
4
√
5
)
=
9
+
4
√
5
x
−
1
x
=
−
8
√
5
x
+
1
x
=
18
Now,
x
2
−
1
x
2
=
(
x
−
1
x
)
(
x
+
1
x
)
=
−
144
√
5
and
x
3
−
1
x
3
=
(
x
−
1
x
)
(
x
2
+
1
x
2
+
x
.
1
x
)
=
−
8
√
5
[
(
x
−
1
x
)
2
−
2
+
1
]
=
−
8
√
5
[
320
−
1
]
=
−
8
∗
319
∗
√
5
=
−
2552
√
5
Suggest Corrections
1
Similar questions
Q.
If x + (1/x) = 3, find x
2
+ (1/x
2
) and x
3
+ (1/x
3
)