Question

if x+1/x=5 then evaluate x6+1/x6

Answer 1

given;x+1/x=5
find x6+1/x6
x3+1/x​3=(x+1/x)3-3(x+1/x)
            =53-3(5)          
            =125-15
           =110
therefore x3+1/x3=110
(x3)2+(1/x3)2=(x3+1/x3)2-2
                     =1102-2
                      = 12100-2
        x6+1/x6=12098

Answer 2

x+1/x=5
then,
x^6+1/x^6=5^6
x^6+1/x^6=15625
hope it will help you