Bonjour
x(x2 - 1) > x²(x - 1)
x(x^2 - 1) - x^2(x - 1) > 0
x(x - 1)(x + 1) - x^2(x - 1) > 0
x(x - 1)(x + 1 - x) > 0
x(x - 1) > 0
x = 0 et x - 1 = 0
x = 0 et x = 1
x………….| -inf……….0……….1……….+inf
x………….|………(-)…..o…(+)…….(+)…….
x - 1……..|………(-)………..(-)..o…..(+)……
Ineq…….|………(+)….o…(-)…o….(+)……
[tex]x \in ]-\infty ; 0[ U ]1 ; +\infty[[/tex]
