Помогите с алгеброй: [latex](x-1)^{4} -x^{2}+2x-73=0[/latex]

[latex](x-1)^{4} -x^{2}+2x-73=0 \\\ (x-1)^{4} -x^{2}+2x-1-72=0 \\\ (x-1)^{4} -(x-1)^2-72=0 \\\ a^2 -a-72=0 \\\ D=1+288=289 \\\ a_1= \frac{1-17}{2} =-8 \\\ a_1= \frac{1+17}{2} =9 \\\ (x-1)^2 \neq -8 \\\ (x-1)^2=9 \\\ \left \{ {{x-1= 3 } \atop {x-1=-3 }} \right. \\\ \left \{ {{x=1+3=4} \atop {x=1- 3=-2 }} \right. [/latex] Ответ: 4 и -2