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Complex Cubic Equation Real Part

1550AdeptPolynomialsComplex Numbers

USA Contests · 2002 · Problem 23

The equation $z(z+i)(z+3i)=2002i$ has a zero of the form $a+bi$, where $a$ and $b$ are positive real numbers. Find $a$.

Answer choices

A
\sqrt{118}
B
\sqrt{210}
C
2\sqrt{210}
D
\sqrt{2002}
E
100\sqrt2
0 students attempted0% solvedRating 1550

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