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  • When should you complete the square

    • Completing the square method examples with answers

  • Completing the square method examples with answers
  • When to use completing the square vs quadratic formula
  • Completing the square questions and answers pdf
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  • Completing the square formula b/2a

    • Completing the square questions and answers pdf.

    Completing the Square

    "Completing the Square" is where we ...

    ... take a Quadratic Equation
    like this:    		and turn it
    into this:
    ax2 + bx + c = 0a(x+d)2 + e = 0

    For those of you in a hurry, I can tell you that: d = b2a

    and:e = c − b24a


    But if you have time, let me show you how to "Complete the Square" yourself.

    Completing the Square

    Say we have a simple expression like x2 + bx.

    Having x twice in the same expression can make life hard. What can we do?

    Well, with a little inspiration from Geometry we can convert it, like this:

    As you can see x2 + bx can be rearranged nearly into a square ...

    ...

    When do you use completing the square to solve a quadratic equation

    and we can complete the square with (b/2)2

    In Algebra it looks like this:

    x2 + bx+ (b/2)2=(x+b/2)2
     "Complete the
    Square"    		  

    So, by adding (b/2)2 we can complete the square.

    The result of (x+b/2)2 has x only once, which is easier to use.

    Keeping the Balance

    Now ...

    we can't just add(b/2)2 without also subtracting it too! Otherwise the whole value changes.

    So let's

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