Question
If x+1x=2, find the value of x64+1x64
Answer: Option D
:
D
x+1x=2
Squaring both sides, weget x2+1x2+2.x.1x=4
So, x2+1x2=4−2=2
Again Squaring both sides, weget x4+1x4+2.x2.1x2=4
⇒x4+1x4=4−2=2
Similarly, x8+1x8=x32+1x32=x64+1x64=2
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:
D
x+1x=2
Squaring both sides, weget x2+1x2+2.x.1x=4
So, x2+1x2=4−2=2
Again Squaring both sides, weget x4+1x4+2.x2.1x2=4
⇒x4+1x4=4−2=2
Similarly, x8+1x8=x32+1x32=x64+1x64=2
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