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9 December, 13:28

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 6x = 20

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  1. 9 December, 14:36
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    x^2 - 6x = 20

    b=-6

    to complete the square, add (b/2) ^2 to each side

    (b/2) ^2 = (-6/2) ^2 = (-3) ^2 = 9

    x^2 - 6x + 9 = 20+9

    (x+b/2) ^2 = 29

    (x-3) ^2=29

    take the square root of each side

    x-3 = + - sqrt (29)

    add 3 to each side

    x = 3 + - sqrt (29)

    x = 3 + sqrt (29), x - sqrt (29)

    Answer: - 2.39, 8.39
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