РЕШИТЕ УРАВНЕНИЕ (x^2+x+4)^2+8x(x^2+x+4)+15x^2=0

(x^2 + x + 4)^2 + 8x(x^2 + x + 4) = - 15x^2(x^2 + x + 4)(x^2 + x + 4 + 8x) = - 15x^2(x^2 + x +4)(x^2 +9x + 4) = - 15x^2x^4 + 9x^3 + 4x^2 + x^3 + 9x^2 + 4x + 4x^2 + 36x + 16 + 15x^2 = 0x^4 + 10x^3 + 32x^2 + 40x + 16 =0( x+ 2)^2(x^2 + 6x + 4) = 0(x + 2)(x + 2)(x^2 + 6x + 4) = 0x + 2 = 0x = - 2x  + 2 = 0x = - 2x^2 + 6x + 4 = 0D = b^2 - 4ac =36 - 16 = 20x1 = ( - 6 + 2√5) / 2 = - 2(3 - √5) / 2 = - (3 - √5) = √5 - 3x2 = ( - 6 - 2√5) / = - 2(3 + √5)/ 2 = - (3 + √5) = - 3 - √5Ответ: x1 = √5 - 3,x2 = -√5 - 3, x3 = - 2,x4 = - 2