Question

X^2 +2= 0I need help with solving this quadratic equation.

Answer 1

Answer:
`x\text{ = }-i\sqrt[]{2}\text{ or i}\sqrt[]{2}`Step-by-step explanation:

The given quadratic equation is:

`x^2+2=0`

Subtract 2 from both sides

`\begin{gathered} x^2+2-2=0-2 \\ x^2=\text{ -2} \end{gathered}`

Find the square root of both sides

`\begin{gathered} \sqrt[]{x^2}=\text{ }\sqrt[]{-2} \\ x=\sqrt[]{-2} \\ x=\pm\sqrt[]{2}*\sqrt[]{-1} \\ x\text{ =}\pm\text{ }\sqrt[]{2}i \\ x\text{ = }\pm i\sqrt[]{2} \end{gathered}`
`\begin{gathered} x\text{ = }-i\sqrt[]{2}\text{ or i}\sqrt[]{2} \\ \end{gathered}`