🔢 Complete the Square
Interactive GCSE Quadratic Equation Solver
Choose Your Level
Level 1
Perfect Square Trinomials
Level 2
Integer Solutions
Level 3
Irrational Roots
🎯 Drag & Drop: Complete the Square!
Instructions:
Drag the geometric pieces below to form a perfect square! You have an x×x square, two x×3 rectangles, and need to add a 3×3 square to complete it.
Drop Zone - Arrange pieces to form a perfect square
🧰 Geometric Pieces - Drag to arrange:
✓ Check My Square
🔄 Reset Pieces
Current Problem
x² + 6x + 8 = 0
Coefficient b:
6
Constant c:
8
🎲 New Problem
↺ Reset
Step-by-Step Solution
Completed Square Form
(x + 3)² - 1 = 0
Solutions:
x = -2 or x = -4
Check Your Understanding
What goes in the brackets? (x + ?)
What constant do we subtract?
✓ Check Answer