1) x(x+5) = 10x^2 + 5x - 104 = (x + 13)(x - 8) = x = 8
2) (x-5)/x = (x-1) + 4/(x-5)/x = (x^2 - x + 4)/x - 5 = x^2 - x + x^2 - 2x - x = 1
3) x - 2/x = 1/x^2 - 2 = x/2x^2 - 4 = 2x^2 - x - 4 = (2x + 1)(x - 4) = x = 4
1) x(x+5) = 10
x^2 + 5x - 104 =
(x + 13)(x - 8) =
x = 8
2) (x-5)/x = (x-1) + 4/
(x-5)/x = (x^2 - x + 4)/
x - 5 = x^2 - x +
x^2 - 2x -
x = 1
3) x - 2/x = 1/
x^2 - 2 = x/
2x^2 - 4 =
2x^2 - x - 4 =
(2x + 1)(x - 4) =
x = 4