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math-calculus

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|2x-3|-|2x+5| = 0 i please need helps with this.

  • algebra -

    This is not a calculus question. It is algebra.

    There will only be an answer in this case when -5 < x < 3. You can convince yourself of that graphically. You have two V-shaped functions touching the x axis at x = -5 and x = 3. They have mutually parallel sides and they only intersect in one place.

    In that region between -5 and +3, the equation becomes

    3 - 2x - 2x -5 = 0
    4x = -2
    Therefore,
    x = -1/2

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