Question

if (x+1/x)^2=3 then show that x^3 + 1/x^3=0

Answer 1

Answer:

sorry not understood the quetion5

Answer 2

(X+1/X)²= 3

x+1/x= √3 .......(i)

cube on both sides

(x+1/x)³= (√3 )³

x³+1/x³+3(x+1/x)=3√3

x³+1/x³+3(√3)=3√3 [From( i)=> x+1/x= √3 ]

x³+1/x³+3√3=3√3

x³+1/x³=3√3-3√3

x³+1/x³=0

Hence proved