Make y the subject of the formula x = SQRT((y+1)/(y-2))

Square both sidesMultiply by the RHS denominator (x^2(y-2)) = y+1Expand your brackets y(x^2) - 2x^2 = y + 1Begin re-arranging towards making y the subject so moving y terms to the left would get you y(x^2 - 1) = 2x^2 +1isolate y, making it the subject, by dividing the co-efficient on both sides (div by (x^2 - 1)) y(x^2 - 1) = 2x^2 +1 (div by (x^2 - 1))y = (2x^2 +1)/(x^2 - 1)