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Byju's Answer
Standard VIII
Mathematics
Expansion of (x^2 - y^2)
a^2-4a-1=0 an...
Question
a^2-4a-1=0 and a is not equal to 0,
find
a-1/a
a=1/a
a^2-1/a^2
Open in App
Solution
i
a
2
-
4
a
-
1
=
0
⇒
a
a
-
4
=
1
⇒
a
-
4
=
1
a
⇒
a
-
1
a
=
4
i
i
a
+
1
a
2
=
a
-
1
a
2
+
4
=
4
2
+
4
=
16
+
4
=
20
⇒
a
+
1
a
=
20
⇒
a
+
1
a
=
2
5
i
i
i
a
2
-
1
a
2
=
a
+
1
a
a
-
1
a
=
4
×
2
5
=
8
5
⇒
a
2
-
1
a
2
=
8
5
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0
Similar questions
Q.
If
a
2
−
4
a
−
1
=
0
,
a
≠
0
, then the value of
a
2
+
3
a
+
1
a
2
−
3
a
is
Q.
If
a
1
,
a
2
,
a
3
.
.
.
.
a
15
∈
R
+
and
a
1
,
a
2
,
a
3
.
.
.
a
n
=
1
, then minimum value of
(
1
+
a
1
+
a
2
1
)
(
1
+
a
3
+
a
2
3
)
.
.
.
.
(
1
+
a
a
+
a
2
a
)
is equal to:_
Q.
Factorize
a
3
+
1
a
3
?
Q.
If
A
=
[
2
−
1
−
1
2
]
and
A
2
−
4
A
−
n
I
=
0
, then
′
n
′
is equal to :
Q.
State whether True or False.
The H.C.F. and L.C.M. of:
a
2
+
3
a
,
a
2
+
4
a
+
3
and
a
2
+
3
a
+
2
is
1
;
a
(
a
+
3
)
(
a
+
1
)
(
a
+
2
)
If true then enter
1
and if false then enter
0
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