Use Maxima to plot the parabola given by

$y=5x^2+2x-8$

and the circle

$x^2+y^2-2x+6y=-1$

on the same graph.

Use Maxima to find the coordinates of the points of intersection between the

parabola and the circle. State the values of the coordinates rounded to three

decimal places, but do not attempt to use Maxima for rounding.

Include a screenshot of your Maxima worksheet with your solutions. You are

not expected to annotate your Maxima worksheet with explanations.