52) 1/x^2 + 2/x - 3 = 0;

Question

1. Multiply by x^2: 1 + 2x - 3x^2 = 0.

2. Rearrange into quadratic form: 3x^2 - 2x - 1 = 0.

3. Factor and solve: (3x+1)(x-1) = 0 -> x = 1, x = -1/3. (Note: x cannot be 0).

Accepted Answer

1. Multiply by x^2: 1 + 2x - 3x^2 = 0.

2. Rearrange into quadratic form: 3x^2 - 2x - 1 = 0.

3. Factor and solve: (3x+1)(x-1) = 0 -> x = 1, x = -1/3. (Note: x cannot be 0).

Ответ: