If x + 1/x = 3 , then find the value of x6+1/x6.

x+1/x =3

1/x =3-x

1 = 3-x2

1-3 = -x2

-2 = -x2

√2 = x

x+1/x = √26+1/√26

= 2*2*2+1/2*2*2

= 8+1/8 ⇒ 8/1+1/8 LCM= 8

= 64/8+1/8

= 65/8

or

= 8.125

If x + 1/x = 3 , then find the value of x6+1/x6.

1/x =3-x

1 = 3-x2

1-3 = -x2

-2 = -x2

√2 = x

x+1/x = √26+1/√26

= 2*2*2+1/2*2*2

= 8+1/8 ⇒ 8/1+1/8 LCM= 8

= 64/8+1/8

= 65/8

or

= 8.125