Question

х куб-6х квадрат+12х-8=0 розвязати

Answer 1

x³-6x²+12x-8=0
(x³-2³)-(6x²-12x)=0
(x-2)(x²+2x+4)-6x(x-2)=0
(x-2)(x²+2x+4-6x)=0
(x-2)(x²-4x+4)=0
(x-2)(x-2)²=0
(x-2)³=0
x=2