Care for a geometric explanation? The most important objects in geometry (or in problems for which you can make a geometric drawing) are straight lines and circles. Solving problems involves calculating where curves intersect.
Finding out where two straight lines intersect is a *linear* equation — that’s easy to solve.
Quadratic equations are how you find the intersections between a circles and a line, or between two circles.
It so happens that problems that boil down to that operation are very common.
Latest Answers