Question

Solve x2 = −169

A. undefined
B. 13
C. ±13
D. −13

Answer 1

Undefined because the others wouldn’t make sense

Answer 2

Step-by-step explanation

• Given the equation

`{x}^(2) = - 169`

There are no two same numbers that multiply to each others and get negative numbers.

`x = \pm √( - 169)`

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.

`x = \pm √( - 169) \\ i = √( - 1) \\ x = \pm √(169) i \\ x = \pm13i`

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