the equation of the circle is x^2+y^2+2x-8y-1=0.

Find the coordinates of the point where the circle crosses the x-axis

y will equal 0 where the circle crosses the x axis.

x^2 +2x -1 = 0

x = (1/2)[-2 +/-sqrt8]
= -1 +/-sqrt2
= -2.414 and 0.414