Question

x^2=-7 list numbers that are solutions to this equation?A. $- \sqrt{7}$B. 49C. -3.5D. $\sqrt{7}$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

$x=\sqrt[]{-1}\times\pm\sqrt[]{7}$

But we will use the relationship

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

Thus, we have

$\begin{gathered} x=\pm\sqrt[]{7}\times i \\ x=\pm\sqrt[]{7}i \end{gathered}$

Thus, the answer is

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