f(x) = 6x³ + 3(a + 2)x² + 2ax
f'(x) = 18x² + 6(a + 2)x + 2a
f'(x1) = f'(x2) = 0,x1和x2都是f'(x)的根
根据韦达定理,两根之积x1 * x2 = (常数项)/(x²的系数) = (2a)/(18)
所以x1 * x2 = 2a/18 = 1
f(x) = 6x³ + 3(a + 2)x² + 2ax
f'(x) = 18x² + 6(a + 2)x + 2a
f'(x1) = f'(x2) = 0,x1和x2都是f'(x)的根
根据韦达定理,两根之积x1 * x2 = (常数项)/(x²的系数) = (2a)/(18)
所以x1 * x2 = 2a/18 = 1