MATH

√(x+5)-√(x-3)=2

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asked by RUDY
  1. http://www.wolframalpha.com/input/?i=%E2%88%9A%28x%2B5%29-%E2%88%9A%28x-3%29%3D2

  2. Start by adding √(x - 3) to both sides (whatever operation you do to one side of an equation you must do to the other side as well). The result is this:

    √(x + 5) = √(x - 3) + 2

    Then square both sides to get this:

    x + 5 = x - 3 + 2√(x - 3) + 2√(x - 3) + 4

    Combine like terms:

    x + 5 = x + 1 + 4√(x - 3)

    Subtract x and 1 from both sides:

    4 = 4√(x - 3)

    Divide by 4 to get this result:

    1 = √(x - 3)

    Square both sides again to get this result:

    1 = x - 3

    x = 4

    Check this solution with the original equation. It always helps to check your work!

    I hope this helps.

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    posted by MathGuru

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