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6 February, 04:41

Easiest way to remember complete the square for the right side?

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  1. 6 February, 05:43
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    Let's look at an example

    x^2 + 6x + 3 = 8

    Take the "b" coefficient of the quadratic equation, which is 6 and divide in half and square it.

    6/2 = 3

    3^2 = 9

    9 is what we need to be the constant on the left side not 3. We can add 6 to the 3 to make 9 ... but what ever you do to the left side must also be done to the right side to keep the equation the same ...

    think of it in simple terms: 5 = 5

    if you add 3 to the left but not the right it is not valid 5+3 does not equal 5 anymore

    x^2 + 6x + 3 + 6 = 8 + 6

    x^2 + 6x + 9 = 14

    (x + 3) ^2 = 14
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