Решите уравнение: √х+ х=2-√(х-4)

√х + х = 2 - √(х - 4);√x + √(x - 4) = 2 - x;(√x + √(x - 4)) ^ 2 = (2 - x) ^ 2;x + 2 * √x * √(x - 4) + x - 4 = 4 - 4 * x + x ^ 2;2 * x - 4 + 2 * √x * √(x - 4) = 4 - 4 * x + x ^ 2;2 * √x * √(x - 4) = 4 - 4 * x + x ^ 2 - 2 * x + 4;2 * √x * √(x - 4) = 8 - 6 * x + x ^ 2;(2 * √x * √(x - 4)) ^ 2 = (8 - 6 * x + x ^ 2) ^ 2;4 * x * (x - 4) = ((x - 2) * (x - 4)) ^ 2;4 * x * (x - 4) - ((x - 2) * (x - 4)) ^ 2 = 0;(x - 4) * (4 * x - (x - 2) ^ 2 * (x - 4)) = 0;(x - 4) * (4 * x - (x ^ 2 - 4 * x + 4) * (x - 4)) = 0;(x - 4) * (4 * x - (x ^ 3 - 4 * x ^ 2 - 4 * x ^ 2 + 16 * x + 4 * x - 16))= 0;(x - 4) * (4 * x - x ^ 3 + 4 * x ^ 2 + 4 * x ^ 2 - 16 * x - 4 * x + 16))= 0;(x - 4) * ( - x ^ 3 + 8 * x ^ 2 - 16 * x + 16))= 0;- (x - 4) * (x ^ 3 - 8 * x ^ 2 + 16 * x - 16) = 0;Отсюда получим, х = 4 и х = 5.679.