Complex numbers

Roots of a quartic equation

A quartic equation can have (i) 4 real roots or ii) 2 real roots and a complex conjugate pair or iii) 2 pairs of complex conjugate pairs as the following video shows. I then show you how to solve quartic equations that have complex roots by looking at this example:

  • Find all the roots of the equation x4 - 9x3 + 22x2 + 28x - 120 = 0.


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