Question

√2x+1=2x-1
(ответ:1,5)
Нужно подробное решение

Answer 1

$\sqrt{2x + 1} = 2x - 1 \\ 2x + 1 = (2x - 1) {}^{2} \\ 2x + 1 = 4x {}^{2} { - 4x + 1} \\ - 4x {}^{2} + 2x + 4x + 1 - 1 = 0 \\ - 4x {}^{2} + 6x = 0 \\ - x(4x - 6) = 0 \\ x = 0. \\ 4x - 6 = 0 \\ 4x = 6 \\ x = 1.5$

Ответ: х=0 и х=1,5