To complete the square of , add .
To complete the square of , add role="math" localid="1646794628543" .
We want to complete the square of the given expression with the missing terms.
What it actually means to complete a square is to find a number that when added to the given expression enables the whole expression, including the added number, to be written as a square like in the following example:
First expand the right side of the equality .
Both sides of the equality are polynomials and even more, they are equal.
Therefore, coefficients in front of the same power of the variable must be the same.
For role="math" localid="1646795833717" the quality obviously holds. Moving on to
Therefore . And finally
Therefore, in order to complete the square add to the expression. You can check if the answer is correct by finding the square:
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