Respuesta :
Explanation
- Given the equation
[tex] {x}^{2} = - 169[/tex]
There are no two same numbers that multiply to each others and get negative numbers.
[tex]x = \pm \sqrt{ - 169} [/tex]
You also notice if we proceed to find x further. - 169 will be in square root which is not possible for real number. Hence, the answer is undefined.
For further explanation, this will be imaginary roots.
[tex]x = \pm \sqrt{ - 169} \\ i = \sqrt{ - 1} \\ x = \pm \sqrt{169} i \\ x = \pm13i[/tex]
However, these roots are not in real number system. These roots are imaginary.
But since imaginary roots aren't in the choices. Therefore the answer is undefined.
Answer
- undefined