[tex] 3x^{2} -28x-95=0[/tex]
Δ = [tex] b^{2} -4ac=(-28) ^{2} -4*3*(-95)=784+1140=1924[/tex]
[tex] x_{1} = \frac{-b- \sqrt{delta} }{2a} = \frac{-(-28)- \sqrt{1924} }{6} = \frac{28-2 \sqrt{481} }{6} = \frac{2(14- \sqrt{481)} }{6} = \frac{14- \sqrt{481} }{3} =[/tex][tex] \frac{14-21,93}{3} =- \frac{7,93}{3} =-2,64[/tex]
[tex]x_{2} = \frac{-b+\sqrt{delta} }{2a} = \frac{-(-28)+ \sqrt{1924} }{6} = \frac{28+2 \sqrt{481} }{6} = \frac{2(14+ \sqrt{481)} }{6} = \frac{14+ \sqrt{481} }{3} =[/tex][tex] \frac{14+21,93}{3} = \frac{35,33}{3} =11,97[/tex]
S={-2,64; 11,97}
