Question

if x+(1/x)=-1, find x^3

Answer 1

x+1/x=3 .

Now, x+1= x.3,

Or, x+1=3x,

Or, 2x=1,

Or, x=1/2 ( or .5)

Hence the value of x is 1/5 (0r .5)

solution 2:

By taking the LCM WE GET

X^2+1=3X

X^2–3X+1=0

X=-B±(√B^2–4AC)/2A

HERE B=-3,A=1,C=1

X=3±(√9–4)/2

X=[3+√5]/2,[3-√5]/2