What is the solution of StartRoot negative 4 x EndRoot = 100?

Question

x = –2500
x = –50
x = –2.5
no solution

Answer 1

To solve the equation \(\sqrt{-4x} = 100\), we can start by squaring both sides to eliminate the square root:

\[ -4x = 100^2 \]

Calculating \(100^2\):

\[ -4x = 10000 \]

Next, we can solve for \(x\) by dividing both sides by \(-4\):

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

Thus, the solution is:

\[ \boxed{-2500} \]