Question

$x^{3} \geq 3 x^{2} -2x$ , x$\geq$c1

Answer 1

[tex] x^{3} - 3x^{2} + 2x \geq 0 [/tex] [tex] x( x^{2} -3x +2) [/tex] [tex] x^{2} -3x +2 =0 [/tex] Δ=b la 2 - 4ac = 9-8=1 [tex] x_{1} [/tex] =3+1/2=2 [tex] x_{2} [/tex] =3-1/2=1 Facem tabel de semne si ai semnul - intre 1si 2 si + in rest Rezulta x ∈( -infinit;1) reunit cu ( 2; infinit)