Algebra

Completing the Square

Geometric completion of a square

  • High school
  • about 3 min
  • 3 of 7 in the family
Not started
x²2x2x4x2

Add yellow square (4) to complete the square

x2+4x=(x+2)2−4x^2 + 4x = \left(x + 2\right)^2 - 4

x² + 4x isn't a square. Add (4/2)² = 4 to get (x + 2)². Subtract 4 to compensate.

Where it is taught