Решите уравнение sqrt(2 x+7)-2 = x

[latex] \sqrt{2x+7} - 2 = x[/latex] [latex] \sqrt{2x+7} = x + 2[/latex] [latex]2x + 7 = (x+2)^2[/latex] [latex]2x + 7 = x^2 + 4x + 4[/latex] [latex]-x^2-2x+3 = 0[/latex] [latex]-(x-1)(x+3) = 0[/latex] [latex](x-1)(x+3) = 0[/latex] [latex] \left \{ {{x1 = 1} \atop {x2 = -3}} \right. [/latex] [latex]x = 1[/latex]