for ax²+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
given
3x²+19x=154
minus 154 both sides
3x²+19x-154=0
a=3
b=19
c=-154
subsiture
x=[tex] \frac{-(19)+/- \sqrt{(19)^2-4(3)(-154)} }{2(3)} [/tex]
x=[tex] \frac{-19+/- \sqrt{361+1848} }{6} [/tex]
x=[tex] \frac{-19+/- \sqrt{2209} }{6} [/tex]
x=[tex] \frac{-19+/- 47 }{6} [/tex]
so
x=[tex] \frac{-19+ 47 }{6} [/tex] and x=[tex] \frac{-19- 47 }{6} [/tex]
x=[tex] \frac{28}{6} [/tex] and x=[tex] \frac{-66}{6} [/tex]
x=14/3 and -11
