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March 26, 2017

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I4x-4I=8x+16 (The 2 "I" are absolute signs)

  • Algebra - ,

    [4x - 4] = 8x + 16.
    There are 2 possible solutions:
    4x - 4 = +- (8x + 16),

    First Eq:
    4x - 4 = +(8x + 16),
    4x - 8x = 16 + 4,
    -4x = 20,
    x = -5.

    2nd Eq:
    4x - 4 = -(8x + 16),
    4x - 4 = -8x - 16,
    4x + 8x = -16 + 4,
    12x = -12,
    x = -1.

    Check 1st Eq:
    [4*-5 -4] = 8*-5 + 16,
    [-24] = -24.
    The above statement is NOT true:
    [-24] = +24.
    Therefore, -5 is NOT a solution.

    Check 2nd Eq:
    [4*-1 - 4] = 8*-1 + 16,
    [-8] = 8. TRUE.

    Solution:x = -1.

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