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19 February, 18:33

Isoke is solving the quadratic equation by completing the square. 10x2 + 40x - 13 = 0 10x2 + 40x = 13 A (x2 + 4x) = 13What is the value of A?

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  1. 19 February, 18:47
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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.

    10x2 + 40x = 13

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

    10 (x^2 + 4x) = 13

    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.

    10 (x^2 + 4x + 4) = 13 + 40

    10 (x+2) ^2 = 53

    Therefore, the value of A is 10.
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