Question

x^2=-7 list numbers that are solutions to this equation?A.
`- √(7)`B. 49C. -3.5D.
`√(7)`E. -7F. none of these

Answer 1

We are told to find the solution of

`x^2=-7`

To solve, we will find the square root of both sides

`x=\sqrt[]{-1}*\pm\sqrt[]{7}`

But we will use the relationship

`\sqrt[]{-1}=i`

Thus, we have

`\begin{gathered} x=\pm\sqrt[]{7}* i \\ x=\pm\sqrt[]{7}i \end{gathered}`

Thus, the answer is

`\begin{gathered} x=\sqrt[]{7}i \\ x=-\sqrt[]{7}i \end{gathered}`