Question

решите уравнение sqrt(2 x+7)-2 = x

Answer 1

$sqrt{2x+7} - 2 = x$
$sqrt{2x+7} = x + 2$
$2x + 7 = (x+2)^2$
$2x + 7 = x^2 + 4x + 4$
$-x^2-2x+3 = 0$
$-(x-1)(x+3) = 0$
$(x-1)(x+3) = 0$
$left { {{x1 = 1} atop {x2 = -3}} right.$
$x = 1$