Question

a+1/a=3 value of a6+1/a3
sow me all ​

Answer 1

a+1/a= 3

a+1= 3 x a

a+ 1 =3a

3a-a= 1

2a = 1

a = 1

2

1 x 6 + 1 / 1 x 3

7/3 is the value

Answer 2

a+1/a=3

cubing on both sides

a^3+(1/a)^3+3(a^2*1/a)+3(a*1/a^2)=27

a^3+(1/a)^3+3a+3/a=27

a^3+(1/a)^3+3(a+1/a)=27

a^3+(1/a)^3+3(3)=27

a^3+(1/a)^3=27-9=18

a^6+1/a^3=(a^3)^2+1/a^3

=(a^3+1/a^3)^2-2*a^3*1/a^3

=18-2=16