Сколько различных корней имеет уравнение |x(4-|x|)|=2

|x * (4 - |x|)| = 2;1) x * (4 - |x|) = 2;4 * x - x * |x| = 2; - x * |x| = 2 - 4 * x; a) - x * x = 2 - 4 * x;- x ^ 2 + 4 * x - 2 = 0;x ^ 2 - 4 * x + 2 = 0;x1 = (4 - √8) / (2·1) = 2 - √2 ≈ 0.58;x2 = (4 + √8) / (2·1) = 2 + √2 ≈ 3.41;b) - x * x = - (2 - 4 * x);- x ^ 2 = - 2 + 4 * x;x ^ 2 + 4 * x - 2 = 0; x1 = (-4 - √24) / (2·1) = -2 - √6 ≈ -4.45;x2 = (-4 + √24) / (2·1) = -2 + √6 ≈ 0.45;2) - (x * (4 - |x|)) = 2; - (x * 4 - x * |x|)) = 2; x * |x| - 4 * x = 2;x * |x| = 2 + 4 * x;a) x * x = 2 + 4 * x;x ^ 2 - 4 * x - 2 = 0;x1 = (4 - √24) / (2·1) = 2 - √6;x2 = (4 + √24) / (2·1) = 2 + √6; b) x * x = - 2 - 4 * x; x ^ 2 + 4 * x + 2 = 0; x1 = (-4 - √8) / (2·1) = -2 - √2;x2 = (-4 + √8) / (2·1) = -2 + √2;Ответ: Уравнение имеет 8 различных корней.