Question

If x= 3, find the value of (*13+x-13) (x2/3
+ x -2/3 – 1)

Please answer this question. ​

Answer 1

x+1x=−−√ 13

(x+1x)2=(13−−√)2  

x2+1x2=13−2=11(1)

(x−1x)2=x2+1x2−2=11−2=9

x−1x=±3(2)

(x−1x)3=(±3)3

x3−1x3−3(x−1x)=±27

x3−1x3=±27+(3)(±3)=±36(3)

(x3−1x3)(x2+1x2)=(±36)(11)

x5−1x5+(x−1x)=±396

x5−1x5=±396∓3

x5−1x5=±393