Solve $$z^4+2\left(a^2-b^2\right)z^2+\left(a^2+b^2\right)^2=0$$ where $a,b$ are real numbers.
Hint 1 : Put $w=z^2$ and find $w$ first. Then for each $w$, solve $z^2=w$.
Hint 2: see other posts on this label.
Answer: $z=\pm (a+ib), \pm (a-ib)$
Solve $$z^4+2\left(a^2-b^2\right)z^2+\left(a^2+b^2\right)^2=0$$ where $a,b$ are real numbers.
Hint 1 : Put $w=z^2$ and find $w$ first. Then for each $w$, solve $z^2=w$.
Hint 2: see other posts on this label.
Answer: $z=\pm (a+ib), \pm (a-ib)$
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