Bsr,
[tex]6x^2-14x-9\\\Delta= b^2-4ac\\\Delta=(-14)^2-4\times 6 \times (-9)\\\Delta=196 +216\\\Delta=412\\\\
x_1=\dfrac{-b-\sqrt{\Delta}}{2a};\quad\quad\quad x_2=\dfrac{-b+\sqrt{\Delta}}{2a}\\\\x_1=\dfrac{-(-14)-\sqrt{412}}{2\times 6};\quad\quad\quad x_2=\dfrac{-(-14)+\sqrt{412}}{2\times 6}\\\\x_1=\dfrac{14-\sqrt{412}}{12};\quad\quad\quad x_2=\dfrac{14+\sqrt{412}}{12}\\\\x_1=\dfrac{14-2\sqrt{103}}{12};\quad\quad \quad x_2=\dfrac{14+2\sqrt{103}}{12}\\\\x_1=\dfrac{7-\sqrt{103}}{6};\quad\quad\quad x_2=\dfrac{7+\sqrt{103}}{6}\\\\\\S=\left\{\dfrac{7-\sqrt{103}}{6};\dfrac{7+\sqrt{103}}{6}\right\}\\\\\\a(x-x_1)(x-x_2)\\\\6\left(x-\dfrac{7-\sqrt{103}}{6}\right)\left(x-\dfrac{7+\sqrt{103}}{6}\right)[/tex]
