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What are the solutions of the equation (z^2)+9=0

User Lenilsondc
by
3.8k points

1 Answer

6 votes

Answer:

z = ± 3i

Explanation:

note that
√(-1) = i

Given

z² + 9 = 0 ( subtract 9 from both sides )

z² = - 9 ( take the square root of both sides )

z = ±
√(-9) = ±
√(9(-1)) = ±
√(9) ×
√(-1) = ± 3i

User Ricardo Marimon
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4.0k points