anonymous
  • anonymous
how many complex roots does this equation have:
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[x ^{3}+3x ^{2}-x-3\]
misty1212
  • misty1212
HI!
misty1212
  • misty1212
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

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anonymous
  • anonymous
i know it has only one positive real root but i dont know if that is the same thing as acomplex root
misty1212
  • misty1212
no it is not the same
misty1212
  • misty1212
complex numbers are numbers of the form \(a+bi\) were \(a,b\) are real numbers and \(i=\sqrt{-1}\)
misty1212
  • misty1212
positive numbers just means real numbers greater than zero
misty1212
  • misty1212
this one factors as \[(x+3)(x+1)(x-1)\] so the roots are \[\{-3,-1,1\}\]
misty1212
  • misty1212
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"
anonymous
  • anonymous
okay thank you so much

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