use quadratic formula
for ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
given
2x^2+23x-19=0
a=2
b=23
c=-19
x=[tex] \frac{-23+/- \sqrt{23^2-4(2)(-19)} }{2(2)} [/tex]
x=[tex] \frac{-23+/- \sqrt{529-152} }{4} [/tex]
x=[tex] \frac{-23+/- \sqrt{377} }{4} [/tex]
x=[tex] \frac{-23+ \sqrt{377} }{4} [/tex] or [tex] \frac{-23- \sqrt{377} }{4} [/tex]
