Question

x-9=-(18/x) help

Answer 1

\[\large x-9=-\frac{18}{x}\]


\[\large x(x-9)=-18\]


\[\large x^2-9x=-18\]


\[\large x^2-9x+18=0\]


\[\large (x-6)(x-3)=0\]


\[\large x-6=0 \ \ \textrm{or} \ \ x-3=0\]


\[\large x=6 \ \ \textrm{or} \ \ x=3\]


So the solutions are \[\large x=3 \ \ \textrm{or} \ \ x=6\] (order of solutions doesn't matter)

Answer 2

thank you