X+1/x = 27 find the value of x^2+1/x^2
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Answered by
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Answer:
hey friend here is the answer
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Answered by
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Explanation:
just expand, rearrange n substitute,!
(
x
−
1
x
)
2
=
x
2
−
2
⋅
x
⋅
1
x
+
(
1
x
)
2
=
x
2
−
2
+
(
1
x
)
2
=
x
2
+
1
x
2
−
2
since we have the value of
x
2
+
1
x
2
as
27
,
=
27
−
2
=
25
⇒
(
x
−
1
x
)
2
=
25
⇒
x
−
1
x
=
±
5
just expand, rearrange n substitute,!
(
x
−
1
x
)
2
=
x
2
−
2
⋅
x
⋅
1
x
+
(
1
x
)
2
=
x
2
−
2
+
(
1
x
)
2
=
x
2
+
1
x
2
−
2
since we have the value of
x
2
+
1
x
2
as
27
,
=
27
−
2
=
25
⇒
(
x
−
1
x
)
2
=
25
⇒
x
−
1
x
=
±
5
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