請教填充第六,十題!
6.
若一元四次多項式方程式\(x^4-12x^3+46x^2-60x+11=0\)的四個根分別為\(a\)、\(b\)、\(c\)、\(d\),且方程式\( \displaystyle \frac{1}{x-a}+\frac{1}{x-b}+\frac{1}{x-c}+\frac{1}{x-d}=0 \)的三個實根由小至大分別為\(x_1\)、\(x_2\)、\(x_3\),則有序數組\( \left( x_1,x_2,x_3 \right)= \)?
10.
若\( \alpha_1,\alpha_2, \ldots ,\alpha_{105} \)為\(x^{105}+2x^{104}+3=0\)的複數根,則\( (\alpha_1^2+1)(\alpha_2^2+1)\ldots(\alpha_{105}^2+1)= \)?