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Byju's Answer
Standard VII
Mathematics
(a + b)^2 Expansion and Visualisation
If x - 1x =...
Question
If
x
−
1
x
=
5
, find the value of
x
2
+
1
x
2
and
x
4
+
1
x
4
.
A
x
2
+
1
x
2
=
27
,
x
4
+
1
x
4
=
727
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B
x
2
+
1
x
2
=
23
,
x
4
+
1
x
4
=
527
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C
x
2
+
1
x
2
=
23
,
x
4
+
1
x
4
=
531
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D
x
2
+
1
x
2
=
27
,
x
4
+
1
x
4
=
731
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Solution
The correct option is
A
x
2
+
1
x
2
=
27
,
x
4
+
1
x
4
=
727
(
x
−
1
x
)
=
5
Squaring on both sides
(
x
2
+
1
x
2
)
=
25
+
2
=
27
Squaring on both sides
(
x
4
+
1
x
4
)
=
729
−
2
=
727
Suggest Corrections
5
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