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Question

If x+1x=7, then find the value of x4+1x4

A
2207
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B
2209
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C
2232
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D
2294
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Solution

The correct option is A 2207
We have, x+1x=7
Squaring both sides, we get
(x+1x)2=72
x2+1x2+2×x×1x=49[(a+b)2=a2+b2+2ab]
x2+1x2=47
Again Squaring both sides, we get
(x2+1x2)2=472
x4+1x4+2×x2×1x2=2209
x4+1x4=2207
So, A is the correct option.

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