Question

`y=1-sqrt(1-2/x)`
make x the subject

Answer 1

`~~~~~~~~y = 1- √( 1- \frac 2x)\\\\\\\implies √( 1- \frac 2x) = 1 - y\\\\\\\implies 1 - \frac 2x = (1 -y)^2~~~~~~~~~~~~~;[\text{Square on both sides}]\\\\\\\implies \frac 2x = 1-(1-y)^2\\\\\\\implies (1)/(x) = (1-(1-2y+y^2))/(2)\\\\\\\implies x = (2)/(1-1+2y-y^2)\\\\\\\implies x = (2)/(2y-y^2)\\\\\\\implies x = -(2)/(y(y-2))~~~~~~~~~~~~~~~~~;[y\\eq 0,~ y \\eq 2]\\`