SOLUTION: Please help me to solve this problem : What must be added to {{{4x^2 + 2x + 1 to make it a perfect square? }}}.Please please please help me.

Question 213121: Please help me to solve this problem : What must be added to .Please please please help me.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

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You would look at the terms with 'x's:

Isolate the term:

Now, to complete the square we need to add a term:

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That term is ((1/2)b)^2 = [(1/2)(1/2)]^2 = 1/16:

Now it is a perfect square:

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So, the term we need to add was 4*(1/16) = 1/4
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Reviewing:

Since we need to add 1/4 to the x-terms, we need to subtract the same amount from the equation to keep it balance:

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This site explains "completing the square" quite well:
http://www.purplemath.com/modules/solvquad3.htm

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