[tex]3x^2+2x-1=0[/tex]
[tex] a=3\quad b=2\quad c=-1[/tex]
[tex] \Delta=b^2-4\cdot a\cdot c[/tex]
[tex]\Delta=2^2-4\cdot3\cdot(-1) [/tex]
[tex] \Delta=4+12 [/tex]
[tex] \Delta=16 [/tex]
[tex] x=\dfrac{-b\pm\sqrt\Delta}{2\cdot a} [/tex]
[tex] x=\dfrac{-2\pm\sqrt{16}}{2\cdot3} [/tex]
[tex]x=\dfrac{-2\pm4}{6}\begin{cases}x'=\dfrac{-2+4}{6}=\dfrac{2}{6}=\dfrac{1}{3}\\\\x''=\dfrac{-2-4}{6}=-\dfrac{6}{6}=-1\end{cases} [/tex]
[tex]\red{\boldsymbol{S=\{-1~;~1/3\} }}[/tex]
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[tex]3x^2+2x-1=0[/tex]
[tex] a=3\quad b=2\quad c=-1[/tex]
[tex] \Delta=b^2-4\cdot a\cdot c[/tex]
[tex]\Delta=2^2-4\cdot3\cdot(-1) [/tex]
[tex] \Delta=4+12 [/tex]
[tex] \Delta=16 [/tex]
[tex] x=\dfrac{-b\pm\sqrt\Delta}{2\cdot a} [/tex]
[tex] x=\dfrac{-2\pm\sqrt{16}}{2\cdot3} [/tex]
[tex]x=\dfrac{-2\pm4}{6}\begin{cases}x'=\dfrac{-2+4}{6}=\dfrac{2}{6}=\dfrac{1}{3}\\\\x''=\dfrac{-2-4}{6}=-\dfrac{6}{6}=-1\end{cases} [/tex]
[tex]\red{\boldsymbol{S=\{-1~;~1/3\} }}[/tex]