(x+1/x)^2 - 2(x-1/x+4) =1.Find x
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Answer:
Step-by-step explanation:
(2+
3
)
x
2
−2x+1
+(2−
3
)
x
2
−2x−1
=
2−
3
4
⇒(2+
3
)
x
2
−2x
+(2−
3
)
x
2
−2x
=4
Let (2+
3
)
x
2
−2x
=t
⇒t+
t
1
=4
⇒t
2
−4t+1=0
t=2±
3
⇒x
2
−2x=1 or x
2
−2x=−1
∴x=1±
2
or x=1
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