Question

решите уравнение x^4=(x-12)^2

Answer 1

x^4=(x-12)^2              

x^4= x^2 - 24x+144

x^4-x^2 +24x-144=0

x^2(x^2-1) +24(x-6)=0

(x^2+24)(x^2-1)(x-6)=0

x^2+24=0     x^2-1=0               x-6=0

x^2=-24       x-1=0   x+1=0       x=6

x=нет          x=1      x=-1

 ответ: 1,-1, 6