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17 September, 21:34

Solvex - 8x = 3 by completing the square. Which is the solution set of the equation?

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  1. 17 September, 21:51
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    x = 4±sqrt (19)

    Step-by-step explanation:

    Assuming you meant x^2 - 8x = 3

    Take the coefficient of x

    -8

    Divide by 2

    -8/2 = -4

    Square it

    (-4) ^2 = 16

    Add this to each side

    x^2 - 8x + 16 = 3+16

    The number inside the square term is the coefficient divided by 2

    (x-4) ^2=19

    Take the square root of each side

    sqrt ((x-4) ^2=±sqrt (19)

    x-4 = ±sqrt (19)

    Add 4 to each side

    x-4+4 = 4±sqrt (19)

    x = 4±sqrt (19)
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