Solve for x

-1= (1/x) +(1/(x^2))

2 answers

multipy both sides by x^2
-x^2=x+1
now solve it.
0=x^2+x+1
which is not easily solved
Using the quadratic formula

x=(-1+- sqrt(1-4))/2 but notice the sqrt is a sqrt(-3), which is an imaginary number, so your roots are complex, not real.
multiply each term by x^2, which is the LCM

- x^2 = x + 1
x^2 + x + 1 = 0

use the quadratic equation to find the two complex roots.