Question

determinati solutiiile intregi ale inecuatiei 3x la2+2x-1 mai mare sau egal cu 0

Answer 1

$Bloody~easy~:\\ \\ 3x^2+2x-1\geq 0\\ \\ Asociem~ecuatia~de~gradul~2~:~3x^2+2x-1=0.\\ \\ Avem~\Delta=4+12=16\\ \\ Solutiile~sunt~:~x_1=\frac{-4+4}{6}=0\\ \\ ~~~~~~~~~~~~~~~~~~~~~~~~x_2=\frac{-4-4}{6}=-\frac{5}{3} \\ \\ Facem~un~tabel~astfel:\\ \\ x~~~~|~-\inf~~~~~-\frac{5}{3}~~~~~0~~~~\inf\\--------------- \\f(x)|~ ++++++]-[+++\\ \\Obtinem~solutia~x\in~(-\inf,-\frac{5}{3} ]\cup[0,inf).$