Question

Решите уравнение
х³-3х²+24=8х

Answer 1

x³-3x²+24=8x
x³-3x²+24-8x=0
(x³-3x²)-(8x-24)=0
x²(x-3)-8(x-3)=0
(x-3)*(x²-8)=0

x-3=0 или х²-8=0

1. x-3=0, x₁=3
2. x²-8=0, x²=8, x=+-√8, x=+-2√2. x₂=-2√2, x₃=2√2