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This means that you add a constant term to complete a perfect square. Here is an example (I will use "^" for power):

x^2 + 6x + 5 = 0

Adding 4 to each side gives a perfect square:

x^2 + 6x + 9 = 4

The left side is the square of (x + 3):

(x + 3)^2 = 4

Taking the square root on both sides:

x + 3 = (plus or minus) 2

The constant term, 9, that was required on the left side, was obtained as (6 / 2) ^ 2.

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