Respuesta :

X = -2500

This is because:

  1. -2500 * -4 = 10,000
  2. Sqrt of 10,000 is 100

For this case we must find the value of the variable "x" of the following expression:

[tex]\sqrt {-4x} = 100[/tex]

Now, we square both sides of the equation:

[tex]-4x = 100 ^ 2\\-4x = 10000[/tex]

We divide between -4 on both sides of the equation:

[tex]x = \frac {10000} {- 4}\\x = -2500[/tex]

ANswer:

[tex]x = -2500[/tex]

Option A