Question

\[x ^{-2}-4x ^{-1}=10\]

Answer 1

that is the same as
1/x^2-4/x=10
multiply with x^2 to get rid of the fraction
1-4x=10x^2
10x^2+4x-1=0
that has ugly solutions...
\[(-4\pm \sqrt{56})/20\]

Answer 2

Using my solver I get: \[x=\pm (\sqrt(14)+2)/10\]

Answer 3

that is the same

Answer 4

I know. I just was trying to show that there are sometimes more than one way to write a solution. I was not trying to step on any toes.