Решите уравнение x^2/x+4=4x/x+4
4x(x + 4) =x^2(x + 4) 4x( x + 4) - x^2(x + 4) =0 ( x + 4)(4x - x^2) = 0 x(4 - x)(x + 4) = 0 x( 4 - x)(4 + x) = 0 x( 16 - x^2) = 0 x = 0 16 - x^2 = 0 - x^2 = - 16 x^2 = 16 x = 4 x = - 4 Ответ: x1 = 0, x2 = 4, x3 = - 4.