Question

2x-3/ x-2=3x+1/x+2 помогите пожалуйста

Answer 1

$(2x - 3)(x + 2) = (3x + 1)(x - 2) \\ 2 {x}^{2} - 3x + 4x - 6 = 3 {x}^{2} + x - 6x - 2 \\ {x}^{2} - 6x + 4 = 0 \\ d = 36 - 4 \times 4 = 36 - 16 = 20 \\ \sqrt{d} = + - 2 \sqrt{5} \\ x = \frac{6 + - 2 \sqrt{5} }{2} = 3 + - \sqrt{5}$