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26 August, 00:18

Complete the square to solve 4x^2 + 24x = 4

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  1. 26 August, 00:41
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    4x^2+24x=4

    Step 1:

    make the coefficient of x² as 1, divide both sides by 4

    x² + 6x = 1

    Step 2:

    take half of coefficient of x, square it and add it to both sides

    half of 6 is 3 and 3²=9, so add 9 to both sides

    x² + 6x+9=1+9

    x²+6x+3²=10

    (x+3) ²=10

    now when we take square root we will get both + and - √10 on right side

    x+3 = + √10

    x+3=-√10

    solving for x

    x=+√10-3
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