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

Question

asked Jun 25, 2021 77.8k views

1 Answer

Ricardo Marimon · Answer 1 · 2021-07-02T04:04:54+0000

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