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17 July, 17:42

Solve the following quadratic equation: (x-16) ^2 = 256

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  1. 17 July, 19:58
    0
    Simplifying

    (x + - 16) * 2 = 256

    Reorder the terms:

    (-16 + x) * 2 = 256

    Reorder the terms for easier multiplication:

    2 (-16 + x) = 256

    (-16 * 2 + x * 2) = 256

    (-32 + 2x) = 256

    Solving

    -32 + 2x = 256

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Add '32' to each side of the equation.

    -32 + 32 + 2x = 256 + 32

    Combine like terms: - 32 + 32 = 0

    0 + 2x = 256 + 32

    2x = 256 + 32

    Combine like terms: 256 + 32 = 288

    2x = 288

    Divide each side by '2'.

    x = 144

    Simplifying

    x = 144
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