Question

Rezolvati in Z ecuatia x(x-1)/1-3x=x la puterea 2+4x/3x-1

Answer 1

x(x-1)/(1-3x)=(x^2+4x)/(3x-1) => 1-3x≠0 =>x≠1/3
Faci calculele si aduci la acelasi numitor
3x^3−4x^2+x=−3x^3−11x^2+4x
6x^3+7x^2−3x=0
x(3x-1)(2x+3)=0 => x=0; x=1/3; x= -3/2
Dar x≠1/3 => x=0; x= -3/2
Dar x ∈ Z => x=0