Question 150541
{{{x^-2=4}}}   the - sign means to invert both sides, so set up a new equation:


{{{(1/x)^2=1/4}}}


Elminate the numerators, since they are the same:
{{{x^2=4}}}


Square root both sides:
{{{x=2}}}


Therefore, the fraction (1/x) becomes (1/2), making the original x in x^-2=4
come out as (1/2).


Answer:
{{{x=1/2}}}