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Question

If (x+1x)=4, find the value of (x4+1x4)

A
120
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B
194
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C
160
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D
142
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Solution

The correct option is B 194
x+1x=4
Squaring both sides,
=(x+1x)2=42
=x2+(1x)2+2(x)(1x)=16
=x2+1x2+2=16
=x2+1x2=14
Again Squaring both sides,we get,
=(x2+1x2)2=142
=(x2)2+(1x2)2+2(x2)(1x2)=196
=x4+1x4=1962
=x4+1x4=194

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