OBSERVATION (going forward)

Going forward has a quota of inverse activity.
(This is the abstract version of the notion of bank shots and their necessity.)
An important application of this principle is the teaching of the quadratic formula. The teaching of the quadratic formula should be preceded by extensive exercise in solving equations involving square roots (taking square roots being the inverse of the primary process of calculating squares of numbers). Mastery of this maneuver will enable the student to appreciate the maneuvering done to ‘complete the square’, which is the main part of obtaining the quadratic formula.
[General Systems Theory]
[solving quadratic equations]
[solving equations]
[solving for x]