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anonymous

  • one year ago

how many complex roots does this equation have:

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  1. anonymous
    • one year ago
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    \[x ^{3}+3x ^{2}-x-3\]

  2. misty1212
    • one year ago
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    HI!

  3. misty1212
    • one year ago
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    does "complex roots" include real numbers? it should if so, it has 3 all together, the same as the degree if not then it has no complex roots, as all are real

  4. anonymous
    • one year ago
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    i know it has only one positive real root but i dont know if that is the same thing as acomplex root

  5. misty1212
    • one year ago
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    no it is not the same

  6. misty1212
    • one year ago
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    complex numbers are numbers of the form \(a+bi\) were \(a,b\) are real numbers and \(i=\sqrt{-1}\)

  7. misty1212
    • one year ago
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    positive numbers just means real numbers greater than zero

  8. misty1212
    • one year ago
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    this one factors as \[(x+3)(x+1)(x-1)\] so the roots are \[\{-3,-1,1\}\]

  9. misty1212
    • one year ago
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    two are negative real numbers, one is a positive real number but i am not sure how you are suppsed to answer the question since all real numbers are also complex numbers it depends on your teacher maybe you are supposed to say "no complex, 3 real"

  10. anonymous
    • one year ago
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    okay thank you so much

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