Question

7 класс Решите уравнение: 2х²=(2х-1)(х+1)

Answer 1

$2 {x}^{2} = (2x - 1)(x + 1) \\ 2 {x}^{2} = 2 {x}^{2} + 2x - x - 1 \\ 2 {x}^{2} = 2 {x}^{2} + x - 1 \\ 2 {x}^{2} - 2 {x}^{2} - x + 1 = 0 \\ - x + 1 = 0 \\ - x = - 1 \\ x = 1$
Ответ:1

Answer 2

$2x ^{2} = (2x - 1)(x + 1) \\ 2x ^{2} = {2x}^{2} + 2x - x - 1 \\ 0 = 2x - x - 1 \\ 0 = x - 1 \\ - x = - 1 \\ x = 1$