Solve the equation in the complex number system X^4-2x^2-3=0

1 answer:

5 0

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

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