f(x)=6x^3+3(a+2)x^2+2ax
f'(x)=18x²+6(a+2)x+2a
令f'(x)=0得
18x²+6(a+2)x+2a=0
9x²+3(a+2)x+a=0
△=9(a+2)²-36a
=9a²-36a+36-36a
=9a²+36>0
x1*x2=a/9=1
得 a=9
f(x)=6x^3+3(a+2)x^2+2ax
f'(x)=18x²+6(a+2)x+2a
令f'(x)=0得
18x²+6(a+2)x+2a=0
9x²+3(a+2)x+a=0
△=9(a+2)²-36a
=9a²-36a+36-36a
=9a²+36>0
x1*x2=a/9=1
得 a=9