(x4+1/x4) (x3+1/x3) (x+1/x)
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Answer:
Given,
⇒x
4
+
x
4
1
=194
⇒x
4
+
x
4
1
+2=194+2
⇒(x
2
+
x
2
1
)
2
=196
∴x
2
+
x
2
1
=14.......(ii)
⇒x
2
+
x
2
1
+2=14+2
(x+
x
1
)
2
=16
∴x+
x
1
=4.......(iii)
⇒(x+
x
1
)
3
=x
3
+
x
3
1
+3(x+
x
1
)
⇒4
3
=x
3
+
x
3
1
+3(4)
∴x
3
+
x
3
1
=52........(i)
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