Pilne!!! Oblicz nierownosc, na zdjeciu sa przyklady Prosze o pomoc
Pilne!!! Oblicz nierownosc, na zdjeciu sa przyklady
Prosze o pomoc
[latex]g)\ 5x-10 extless 2x^2\ 2x^2-5x+10 extgreater 0\ Delta=(-5)^2-4cdot 2cdot 10=25-80=-55\xin mathbb{R}\ \ h)\ x^2+5x extless -9(x+1)\ x^2+5x extless -9x-9\ x^2+14x+9 extless 0\ Delta = 14^2-4cdot 9 = 196-36=160\ sqrt{Delta}=sqrt{160}=4sqrt{10}\ x_{1}=frac{-14-4sqrt{10}}{2}=-7-2sqrt{10}\ x_{2}=frac{-14+4sqrt{10}}{2}=-7+2sqrt{10}\ xin (-7-2sqrt{10}, -7+2sqrt{10})[/latex] [latex]i)\ x^2-3x+2ge4x-4x^2\ 5x^2-7x+2ge0\ Delta=(-7)^2-4cdot 5cdot 2=49-40 = 9\ x_{1}=frac{7-3}{10}=frac{4}{10}=frac{2}{5}\ x_{2}=frac{7+3}{10}=1\ xin (-infty, frac{2}{5} extgreater cup extless 1,+infty)[/latex]