Circles and intersections with x-axis: ACT Math Practice Question

Try this ACT math practice question that tests your ability to find the x-intercepts of circles.

The circle $(x+1)^2+(y-2)^2=29$ intersects the $x-$axis in two points, one of which is $(4,0)$. What are the coordinates of the other point where the circle intersects the $x-$axis?

1. $\quad (-7, 0)$
2. $\quad (-6, 0)$
3. $\quad (-\sqrt{29}, 0)$
4. $\quad (-5, 0)$
5. $\quad (-4, 0)$

Choice B

Video explanation