Question

$\sqrt{2x} + \sqrt{2x - 3} = 3$
помогите решить ​

Answer 1

Ответ:

$2x + \sqrt{2x(2x - 3)} + 2x - 3 = 9 \\ 4x + \sqrt{4 {x}^{2} - 6x} - 3 = 9 \\ 2 \sqrt{4 {x}^{2} - 6x } = 12 - 4x \\ \sqrt{4 {x}^{2} - 6x} = 6 - 2x \\ 4 {x}^{2} - 6x = 36 - 24x + 4 {x}^{2} \\ - 6x + 24x = 36 \\ 18x = 36 \\ x = 2$