Answer:
Given,
x
−
1
=
6
Multiplying and divide the above equation with
Thus
×
√
Using
(
a
b
)
2
+
and substituting
in denominator, we get
⇒
8
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Answers & Comments
Answer:
Given,
x
−
1
x
=
6
Multiplying and divide the above equation with
x
−
1
x
Thus
x
−
1
x
×
x
−
1
x
x
−
1
x
=
√
6
Using
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
and substituting
x
−
1
x
=
√
6
in denominator, we get
x
2
+
1
x
2
−
2
x
1
x
√
6
=
√
6
⇒
x
2
+
1
x
2
−
2
=
√
6
×
√
6
⇒
x
2
+
1
x
2
=
6
+
2
=
8
Verified answer
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