What is the solution of (image)?
A: x = –2500
B: x = –50
C: x = –2.5
D: no solution

Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
[tex]\sqrt{-4x}=100[/tex]
We need to solve for the value of x:
[tex]\sqrt{-4x}=100\\\\\text{ Squaring on both the sides}\\\\-4x=100^2\\\\-4x=10000\\\\-x=\frac{10000}{4}\\\\x=-2500[/tex]
So, x = -2500
Hence, Option 'A' is correct.