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Math Help - x^2+75=0

  1. #1
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    x^2+75=0

    What can I do to simplify x^2+75=0 ?
    I could switch it around to equal x^2=-75, but any number times itself is going to equal a positive, so what can I do?! Will I end up with imaginary numbers?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    Will I end up with imaginary numbers?
    yes
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    yes
    OK so I could change x^2=-75 to x= + or - √-75

    Then it would be:
    √-75 = √75 * √-1 = + or - i√75

    Could I take it any further than that or is that my final answer?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    OK so I could change x^2=-75 to x= + or - √-75

    Then it would be:
    √-75 = √75 * √-1 = + or - i√75

    Could I take it any further than that or is that my final answer?
    that's good enough
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  5. #5
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    Quote Originally Posted by Jhevon View Post
    that's good enough

    Could I simplify it to 5i√3 or would that be wrong?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    Could I simplify it to 5i√3 or would that be wrong?
    that's fine, except it's weird to have the i in the middle, put it in front (the archaic way to do it) or in the back: 5 \sqrt {3}~i
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