Solve the following equation equation for \(x^2 + \frac{2x}{r^2} + \frac{1}{r^4}\) = 0
A
r2
B
\(\frac{1}{r^4}\)
C
-\(\frac{1}{r^2}\)
D
1 - r
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(x^2 + \frac{2x}{r^2}\) + \(\frac{1}{r^4}\) = 0
(x + \(\frac{1}{r^2}\)) = 0
x + \(\frac{1}{r^2}\) = 0
x = \(\frac{-1}{r^2}\)
Source: Myschool Past Questions Archive (Record #31726)