Given a real constant, \(c\), the equation \[x^4=(x-c)^2\] has four real solutions (including possible repeated roots) for

\(c\leq \frac{1}{4}\),

\(-\frac{1}{4} \leq c \leq \frac{1}{4}\),

\(c \leq -\frac{1}{4}\),

all values of \(c\).

Given a real constant, \(c\), the equation \[x^4=(x-c)^2\] has four real solutions (including possible repeated roots) for

\(c\leq \frac{1}{4}\),

\(-\frac{1}{4} \leq c \leq \frac{1}{4}\),

\(c \leq -\frac{1}{4}\),

all values of \(c\).