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dmchavez248 dmchavez248
  • 10-12-2014
  • Mathematics
Answered

Solve the equation in the complex number system

X^4-2x^2-3=0

Verified Answer :

konrad509
konrad509 konrad509
  • 10-12-2014

\(x^4-2x^2-3=0\\ x^4+x^2-3x^2-3=0\\ x^2(x^2+1)-3(x^2+1)=0\\ (x^2-3)(x^2+1)=0\\ x^2-3=0 \vee x^2+1=0\\ x^2=3 \vee x^2=-1\\ x=-\sqrt3 \vee x=\sqrt3 \vee x=-i \vee x=i\)

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