Найти корень уравнения [latex] \sqrt{4x-4} = x-4[/latex]

[latex] \sqrt{4x-4} = x-4[/latex] [latex]4x - 4 = (x-4)^2[/latex] [latex]4x - 4 = x^2 - 8x + 16[/latex] [latex]-x^2+12x-20 = 0[/latex] [latex]-(x-10)(x-2) = 0[/latex] [latex](x - 10)(x-2) = 0[/latex] ⇒ [latex] \left \{ {{x1=10} \atop {x2=2}} \right. [/latex] [latex]x = 10[/latex]