if (x+1/x=3) find the value of (x^4+1/x^4)
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Step-by-step explanation:
x+1x=3
⟹(x+1x)2=32
⟹x2+x(1x)+x(1x)+(1x)2=9
⟹x2+1+1+1x2=9
⟹x2+2+1x2=9
⟹x2+1x2=7.
(x2+1x2)2=72
⟹x4+2x2(1x2)+(1x2)2=49
⟹x4+2+1x4=49
⟹x4+1x4=47.
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