The Application Of Areas Terms of Completing Square  
  • In the next equation, after X"-BX+/-C2=0, h" equals a quadrant of B" and h"-C2 equals (-K).
  • If  C2 is negative,  the y-coordinate (K) of the vertex equals the sum of the areas with shared corners at the intersection of the green lines if one area equals h" a quadrant of B" with a corner at the intersection of yellow lines.
  •  If C2 is positive the y-coordinate (K) of the vertex equals the area of the square with a shared corner at the intersection of green lines and its opposite corner at the intersection of yellow lines.
  • PDA twice.
  • (X-h) equals the square root of (-K) where X is the length of a segment of the intersecting green lines and h is a length of a side of a quadrant of B"
  • Since K always has a negative value in these examples, (-K) kas a positive value.
  • Remember the X that equals the length of the segment by which a green line  exceeds the length of the blue line has a negative value, otherwise the value of X is positive, while the value of h  is always positive.
 

Your browser does not support Canvas.

;