Question

if x-1/x=3+2√2 , then find the value of 1/4(x³-1/x³)​

Answer 1

Answer:

1/4(x^3-1/x^3)= 1/4{(x-1/x)^3 +3(x-1/x)}

=1/4 { (3+2√2)^3 + 3+2√2}

= 1/4{ 27++16√2 + 54√2+ 72 + 3+2√2

= 1/4( 102 + 72√2)

= 51/2+ 18 √2

hope this will help you