Question

найдите все корни уравнения(x-4)(x-3)^3=(x-4)^3(x-3)

Answer 1

(x-4)(x-3)^3 - (x-4)^3(x-3)=0
(x-3)(x-4)((x-3)^2 - (x-4)^2)=0
(x-3)(x-4)(x-3+x-4)(x-3-x+4)=0
(x-3)(x-4)(2x-7)=0
x1 = 3
x2 = 4
x3 = 7/2