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Byju's Answer
Standard XII
Mathematics
Integration as Antiderivative
If a-1/a=4 ...
Question
If
a
−
1
a
=
4
, then find
a
2
+
1
a
2
.
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Solution
Applying the formula,
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
(
a
−
1
a
)
2
=
a
2
+
(
1
a
)
2
−
2
a
×
1
a
=
a
2
+
1
a
2
−
2
=
>
a
2
+
1
a
2
=
(
a
−
1
a
)
2
+
2
Substituting
a
−
1
a
=
4
,
=
>
a
2
+
1
a
2
=
4
2
+
2
=
16
+
2
=
18
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4
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