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

Home Work Help
1

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

2

x+1/x =3
1/x =3-x
1 = 3-x2
1-3 = -x2
-2 = -x2
√2 = x
x+1/x = √26+1/√26
= 222+1/222
= 8+1/8 ⇒ 8/1+1/8 LCM= 8
= 64/8+1/8
= 65/8
or
= 8.125