Answer
Please see the graph.
$x=-.786, -23.214$
Work Step by Step
$1/3x^2+8x-3=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-8±\sqrt {8^2-4*1/3*(-3)})/2*1/3$
$x=(-8±\sqrt {64-4)}/2*1/3$
$x=(-8±\sqrt {60})/\frac{2}{3}$
$x=(-8±\sqrt {60})/\frac{2}{3}$
$x=3*(-8±7.476)/2$
$x=3*(-8±7.476)/2$
$x=3*(-.524)/2$
$x=-1.572/2$
$x=-.786$
$x=3*(-8-7.476)/2$
$x=3*(-15.476)/2$
$x=-46.428/2$
$x=-23.214$