Question

Solve the equation.9x^2 + 16 = 0

Answer 1

Step 1

Given;

`9x^2+16=0`

Required: To solve the equation.

Step 2

Solve the equation

`\begin{gathered} 9x^2+16-16=0-16 \\ 9x^2=-16 \\ (9x^2)/(9)=(-16)/(9) \\ x^2=-(16)/(9) \\ √(x^2)=\pm\sqrt{(-16)/(9)} \\ x=\sqrt{-(16)/(9)},\:x=-\sqrt{-(16)/(9)} \\ x=i(4)/(3),\:x=-i(4)/(3) \end{gathered}`

Answer;

`x=(4)/(3)i,\text{ -}(4)/(3)i`