what is the solution of $sqrt{-4x}=100$?\n$x = - 2500$\n$x=-50$\n$x = - 2.5$\nno solution
what is the solution of $sqrt{-4x}=100$?\n$x = - 2500$\n$x=-50$\n$x = - 2.5$\nno solution
Answer
Answer:
A. $x = - 2500$
Explanation:
Step1: Square both sides
$$(\sqrt{-4x})^2=100^2$$ This gives $-4x = 10000$.
Step2: Solve for x
Divide both sides by - 4. So $x=\frac{10000}{-4}=-2500$. We need to check for extraneous solutions. Substitute $x = - 2500$ into the original equation: $\sqrt{-4\times(-2500)}=\sqrt{10000} = 100$. So $x=-2500$ is a valid solution.