Question

x+1/x = 3 find, x^6+1/x^6

Answer 1

x+1/x =3
1/x =3-x
1 = 3-x^2
1-3 = -x^2
-2 = -x^2
√2 = x
x+1/x = √2^6+1/√2^6
= 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

@skb

Answer 2

hey mate answer is here..........
$given........ \\ \frac{x + 1}{x} = 3 \\ x + 1 = 3x \\ 3x - x - 1 = 0 \\ 2x - 1 = 0 \\ x = \frac{1}{2} . \\ then.... \\ \\ \frac{x {}^{6} + 1 }{x {}^{6} } = \frac{(1 \div 2) {}^{6} + 1}{(1 \div 2) {}^{6} } \\ = \frac{0.015 + 1}{0.015} \\ = \frac{1.015}{0.015} = 67.66$
hope it helps u dear....