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Byju's Answer
Standard VII
Mathematics
(a-b)^2 Expansion and Visualisation
If x-1x=8, ...
Question
If
x
−
1
x
=
8
, then find the value of
x
4
+
1
x
4
.
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Solution
x
−
1
x
=
8
,
Squaring,
x
2
+
1
x
2
−
2
=
64
⇒
x
2
+
1
x
2
=
66
Again squaring,
x
4
+
1
x
4
+
2
=
4356
⇒
x
4
+
1
x
4
=
4354
.
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2
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