ahmed619fransesco ahmed619fransesco

01-04-2020
Mathematics

contestada

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

Respuesta :

jimrgrant1 jimrgrant1

01-04-2020

Answer:

z = ± 3i

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

Given

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

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

z = ± [tex]\sqrt{-9}[/tex] = ± [tex]\sqrt{9(-1)}[/tex] = ± [tex]\sqrt{9}[/tex] × [tex]\sqrt{-1}[/tex] = ± 3i

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