Respuesta :

HomertheGenius
16 x² + 9 = 0
16 x² = - 9   / : 16  ( divide both sides by 16 )
x² = - 9 / 16    ( we have to find the square root of both sides )
We know that √( -1 ) = i.
Answer:
x 1 = - 3/4 i
x 2 = 3/4 i
QueasyUnicorn14

Answer:

A. [tex]-\frac{3}{4}i,\frac{3}{4}i[/tex]

Step-by-step explanation:

16x² + 9 = 0

16x²= -9 (subtract 9 from both sides)

16x²/16= - 9/16  (divide 16 from both sides)

x² = - 9 / 16    (we have to find the square root of both sides)

We know that √( -1 ) = i.

Answer:

x 1 = - 3/4 i

x 2 = 3/4 i

So therefore the answer is [tex]-\frac{3}{4}i,\frac{3}{4}i[/tex] (A. [tex]-\frac{3}{4}i,\frac{3}{4}i[/tex]).

Plus I put A. [tex]-\frac{3}{4}i,\frac{3}{4}i[/tex] on my test and got it correct.

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