Answer:
To find the solution of the equation,
The given equation is,
[tex]x^2+4x=-12[/tex]By completing square method,
[tex]x^2+4x+4=-12+4[/tex]we get,
[tex](x+2)^2=-8[/tex]Taking square roots on both sides we get,
[tex](x+2)=\pm\sqrt[]{-8}[/tex]Square root of negative number cannot be defined, Hence there is no solution.
Answer is: option: (B)
When completing the square, the equation obtained is
[tex](x+2)^2=-8[/tex]There is no solution because the square root of a negative number is undefined.