Engineering↗
Completing the Square
Turning any quadratic into a perfect square plus a constant, the one rule that makes it work, and why the vertex falls out of the result for free.
Every page in the KEVOS library tagged completing the square. 3 pages.
Turning any quadratic into a perfect square plus a constant, the one rule that makes it work, and why the vertex falls out of the result for free.
The circle as a locus, its equation from Pythagoras, and recovering centre and radius from an expanded form by completing the square.
Reducing a general quadratic congruence to a square root extraction, and handling the degenerate cases the reduction assumes away.