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
Undefined because the others wouldn’t make sense