Question

Час сижу, никак не могу решить. ​

Answer 1

Ответ:

$(2x + 3)(3x - 1) - {x}^{2} = 5 {(x - 1)}^{2} \\ 6 {x}^{2} - 2x + 9x - 3 - {x}^{2} = 5( {x}^{2} - 2x + 1) \\ 5 {x}^{2} + 7x - 3 = 5 {x}^{2} - 10x + 5 \\ 5 {x}^{2} + 7x - 3 - 5 {x}^{2} + 10x - 5 = 0 \\ 17x - 8 = 0 \\ 17x = 8 \\ x = \frac{8}{17}$