To determine the solution of the given equation, isolate the variable x by subtracting 9 on both sides of the equation,
[tex]x^2+9-9=0-9[/tex][tex]x^2=-9[/tex]Get the square root on both sides of the equation.
[tex]\sqrt{x^2}=\sqrt{-9}[/tex][tex]x=\pm\sqrt{-9}[/tex]As we can see, the value of x is a negative number under the radical sign. However, a negative number under a radical sign is not considered a real number.
Hence, the solution to this equation is an imaginary number +3i and -3i.
