1) x(x^2 - 2x) = x^3 - x^3 - 2x^2 = x^3 - x^3 - 2x^2 - x^3 + 8 = -2x^2 + 8 = -2x^2 = -x^2 = x = ±2
2) (x + 7)(x - 7) + (x - 3)^2 = 5(x^2 - 49) + (x^2 - 6x + 9) = 52x^2 - 6x - 40 = x^2 - 3x - 20 = (x - 5)(x + 4) = x = 5 or x = -4
3) 3/x + 2 = 8/(3 - x3(3 - x) + 2x = 89 - 3x + 2x = 89 - x = 89 = 9x = 1
1) x(x^2 - 2x) = x^3 -
x^3 - 2x^2 = x^3 -
x^3 - 2x^2 - x^3 + 8 =
-2x^2 + 8 =
-2x^2 = -
x^2 =
x = ±2
2) (x + 7)(x - 7) + (x - 3)^2 = 5
(x^2 - 49) + (x^2 - 6x + 9) = 5
2x^2 - 6x - 40 =
x^2 - 3x - 20 =
(x - 5)(x + 4) =
x = 5 or x = -4
3) 3/x + 2 = 8/(3 - x
3(3 - x) + 2x = 8
9 - 3x + 2x = 8
9 - x = 8
9 = 9
x = 1