X²+ X - 6≥ 0, svp aidez moi​

Bonjour

X²+ X - 6≥ 0

x^2 + 2 * x * 1/2 + (1/2)^2 - (1/2)^2 - 6 >> 0

(x + 1/2)^2 - 1/4 - 24/4 >> 0

(x + 1/2)^2 - 25/4 >> 0

(x + 1/2)^2 - (5/2)^2 >> 0

(x + 1/2 - 5/2)(x + 1/2 + 5/2) >> 0

(x + 6/2)(x - 4/2) >> 0

(x + 3)(x - 2) >> 0

x + 3 = 0 ou x - 2 = 0

x = -3 ou x = 2

x……….|-inf………(-3)……..…2………..+inf

x + 3….|……..(-)..…o……(+)…….(+)………

x - 2…..|……..(-)………….(-)…o…..(+)………

Ineq….|……..(+)…..o….(-)….o….(+)……..

x € ]-inf ; -3] U [2 ; +inf [