[tex]2x^{2} + 11x - 15 = 0[/tex]
Use the quadratic equation:
[tex]x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}[/tex]
[tex]= \frac{-11 \pm \sqrt{121 - 4(2)(-15)}}{4}[/tex]
[tex]= \frac{-11 \pm \sqrt{121 + 120}}{4}[/tex]
[tex]= \frac{-11 \pm \sqrt{241}}{4}[/tex]
[tex]\therefore x = \frac{-11 + \sqrt{241}}{4}[/tex]
or [tex]x = \frac{-11 - \sqrt{241}}{4}[/tex]