$a^{8}$ - 2 $a^{4}$ + 1=0
You asked:
Solve the equation \({a}^{8} - 2 {a}^{4} + 1 = 0\) for the variable \(a\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}a &= -1\\a &= 1\\a &= i\\a &= -i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).