If x + 1/x = 6 then x^4 + 1/x^4
Answers
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0
Answer:
x+
x
1
=6
⇒(x+
x
1
)
2
=x
2
+
x
2
1
+2x.
x
1
=x
2
+
x
2
1
+2
⇒x
2
+
x
2
1
=(x+
x
1
)
2
−2=6
2
−2=34
⇒(x
2
+
x
2
1
)
2
=x
4
+
x
4
1
+2x
2
.
x
2
1
=x
4
+x
4
+
x
4
1
+2
⇒x
2
+
x
2
1
=(x
2
+
x
2
1
)
2
−2=34
2
−2
=1154.
Hence, the answer is 1154.
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