Question

if (x+1/x)=3 then (X^8+1/x^8)=

Answer 1

(x+1/x) =3
or, (x+1/x)² =3²
or, (x²+1/x² +2x.1/x) =9
or, (x²+1/x²)=9-2
or, (x²+1/x²)²=7²
or, (x⁴+1/x⁴ +2x².1/x²) =49
or, (x⁴+1/x⁴)=49-2
or, (x⁴+1/x⁴)=47
or, (x⁴+1/x⁴)²=47²
or, x^8 +1/x^8 +2 x⁴. 1/x⁴ =2209
or, x^8 +1/x^8 =2209-2=2207.... (ANSWER)
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