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18 October, 09:26

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.

9x2 + 54x = 7

9 (x2 + 6x) = 7

9 (x2 + 6x + 9) = 7 + ?

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  1. 18 October, 09:51
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    Completing the square is done as follows:

    1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.

    9x2 + 54x = 7

    2. Make sure that the coefficient of the x^2 term is 1.

    9 (x2 + 6x) = 7

    3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

    9 (x2 + 6x + 9) = 7 + 81

    9 (x+3) ^2 = 88
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