Respuesta :

Answer:

x = ± [tex]\frac{8}{3}[/tex] i

Step-by-step explanation:

subtract 64 from both sides

9x² = - 64 ( divide both sides by 9 )

x² = - [tex]\frac{64}{9}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{-64/9}[/tex] = ± [tex]\frac{8}{3}[/tex] i

Answer:

see below

Step-by-step explanation:

9x^2 + 64 = 0

9x^2 = -64

x^2 = -64 / 9  

Taking square roots of both sides:-

x = +/-  (-8/3)

x = -8i/3 , 8i/3