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@@ -3,13 +3,35 @@ title: Completing the Square
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## Completing the Square
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+The completing the square method is one of the many methods for solving a quadratic eduation. It involves changing the form of the equation so that the left side becomes a perfect square.
+
+A quadratic equation generally takes the form: ax2 + bx + c = 0. In solving the above, follow the following steps:
+
+1. Move the constant value to the Right Hand Side of the equation so it becomes:
+ax2 + bx = -c
+
+2. Make the coefficient of x2 equal to 1 by dividing both sides of the equation by a so that we now have:
+x2 + (b/a)x = - (c/a)
+
+3. Next, add the square of half of the coefficient of the x-term to both sides of the equation:
+x2 + (b/a)x + (b/2a)2 = (b/2a)2 - (c/a)
+
+4. Completing the square on the Left Hand Side and simplifying the Right Hand Side of the above equation, we have:
+(x + b/2a)2 = (b2/4a2) - (c/a)
+
+5. Further simplpfying the Right Hand Side,
+(x + b/2a)2 = (b2 - 4ac)/4a2
+
+6. Finding the square root of both sides of the equation,
+x + b/2a = √(b2 - 4ac) ÷ 2a
+
+7. By making x the subject of our formula, we are able to solve for its value completely:
+x = -b ± √(b2 - 4ac) ÷ 2a
+
#### More Information:
-
+* [Varsity Tutors](https://www.varsitytutors.com/hotmath/hotmath_help/topics/completing-the-square)
+* [Maths is Fun](https://www.mathsisfun.com/algebra/completing-square.html)