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algebra

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Solving equations. PLEASE HELP!

(4)/(x+2) - (4)/(x)
__________________ = 1
2

  • algebra - ,

    (4/(x + 2) - 4/x)/2 = 1

    rewrite as
    (4/(x + 2) - 4/x) * 1/2 = 1
    4/(2(x + 2)) - 4/2x = 1
    4/(2x + 4) - 4/2x = 1
    LCD 2x(2x + 4)
    (8x - 4(2x + 4))/(2x(2x + 4)) = 1
    multiply both sides by 2x(2x + 4)
    8x - 4(2x + 4) = 2x(2x + 4)
    8x - 8x -16 = 4x^2 + 8x
    -16 = 4x^2 + 8x
    4x^2 + 8x + 16 = 0
    4(x^2 + 2x + 4) = 0
    divide both sides by 4
    x^2 + 2x + 4 = 0

    Solve this by Quadratic formula or completing the square

    I leave the rest to you to solve

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