Question

X+1/x=2√2. Find the value of x^3+1/x^3

Answer 1

Answer:

10√2

Step-by-step explanation:

     ⇒ x + 1 / x = 2√2

Cube on both sides:

⇒ ( x + 1 / x )^3 = ( 2√2 )^3

⇒ x^3 + 1 / x^3 + 3( x * 1 / x )( x + 1 / x ) = 16√2

⇒ x^3 + 1 / x^3 + 3( 2√2 ) = 16√2

⇒ x^3 + 1 / x^3 + 6√2 = 16√2

⇒ x^3 + 1 / x^3 = 16√2 - 6√2

⇒ x^3 + 1 / x^3 = 10√2