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Math Help - Solving a square root set to Zero

  1. #1
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    Solving a square root set to Zero

    It's a simple problem that for some reason I can't remember how to do... Just set me in the right direction

    square root of (x^2 + 1) = 0

    I'm trying to find all possible numbers that will get that to equal zero. The square root is throwing me off. Do I square both sides, getting
    x^2 + 1 = 0
    x^2 = -1
    x = +or- square root of -1
    but you can't take the square root of a negative number?
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  2. #2
    Junior Member
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    \sqrt{-1}=i \epsilon C
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  3. #3
    MHF Contributor
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    Talking

    Quote Originally Posted by ktprieto View Post
    x = +or- square root of -1
    but you can't take the square root of a negative number?
    If you haven't yet learned about complex numbers, then, no, you cannot take the square root you did. (And even if you had studied complex numbers, your answer would not have been what you got.)

    You need to figure out if there is any value of x^2 + 1 such that x^2 = -1. Is there? If yes, then that value is the solution. If no, then there is no solution.
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