Solve the equation using square roots. 4x^(2) +9=0

Question

Solve the equation using square roots.


`4x^(2) +9=0`

Answer 1

Isolating the variable terms and dividing by 4, we have
`x^2=-(9)/(4).` Taking the square root, we have
`\boxed{x=(3i)/(2),-(3i)/(2)}.`