Question

.If x + 1/x= 4 , then find X³ + (1/x)³​

Answer 1

Answer: 52

Step-by-step explanation:

X + 1/X = 4

Cubing both sides ,

( X + 1/X )³ = (4)³

X³ + 1/X³ + 3 × X × 1/X × ( X + 1/X ) = 64

X³ + 1/X³ + 3 × 4 = 64

X³ + 1/X³ = 52

Answer 2

Answer:

$\frac{x + 1}{x} \: = 4 \\ \frac{x}{x} + \frac{1}{x} = 4 \\ 1 + \frac{1}{x} = 4 \\ 1 + 1 = 4x \\ 2 = 4x \\ \frac{2}{4} = x \\ \frac{1}{2} = x \\ putting \: x = \frac{1}{2 \: } \: in \: {x}^{3 } \\ \frac{1}{2 }^{3} \\ \frac{1}{8}$

Hope its helps you