haylraceGewWaheshp haylraceGewWaheshp
  • 21-11-2016
  • Mathematics
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Can a cubic equation have 3 complex roots? 3 real roots? ...?

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scme1702
scme1702 scme1702
  • 22-11-2016
No, a cubic equation can not have three complex roots. This is because it turns twice and one end goes to positive infinity and one end goes to negative infinity. Thus, one of these MUST cross the x-axis at some point, meaning y = 0 and a real root exists.

Yes, a cubic equation can have three real roots if it cuts the x-axis three times.
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