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Question below!

what do you need in order to construct in order to find a point/location that has the same distance away from 2 or more other points

Hi, There! Mika-Chan I'm here to help! :)

To find the distance from a point to a line, first find the perpendicular line passing through the point. Then using the Pythagorean theorem, find the distance from the original point to the point of intersection between the two lines.

Hope this Helps!

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.