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Math Help - Solving An Absolute Value Equation

  1. #1
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    Solving An Absolute Value Equation

    How would I solve this equation for the inequality for x?

    |2x + 2| = |x + 5|
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  2. #2
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    Re: Solving An Absolute Value Equation

    Quote Originally Posted by Manni View Post
    How would I solve this equation for the inequality for x?

    |2x + 2| = |x + 5|
    What inequality? To solve this equation square both sides (since x^2 \geq 0 this will deal with the absolute value) but remember to check for extraneous solutions
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  3. #3
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    Re: Solving An Absolute Value Equation

    Would I use a similar approach when solving |x + 1| = 3|x + 2| + 5? And if so, how?
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    Re: Solving An Absolute Value Equation

    Quote Originally Posted by Manni View Post
    Would I use a similar approach when solving |x + 1| = 3|x + 2| + 5? And if so, how?
    Yup. If |f(x)| = |g(x)| + c then I'd use said method
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  5. #5
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    Re: Solving An Absolute Value Equation

    Gotcha! Thanks a lot
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    Re: Solving An Absolute Value Equation

    Quote Originally Posted by Manni View Post
    Gotcha! Thanks a lot
    Did you get a solution ?
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  7. #7
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    Re: Solving An Absolute Value Equation

    Quote Originally Posted by Manni View Post
    How would I solve this equation for the inequality for x?

    |2x + 2| = |x + 5|
    Either 2x + 2 & x + 5 have the same sign, in which case you have:
    2x + 2 = x + 5
    or they have opposite sign, in which case you have:
    2x + 2 = -(x + 5).
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