a^4+\frac{1}{a^4}=16\:\frac{1}{16}
You asked:
Solve the equation \({a}^{4} + \frac{1}{{a}^{4}} = 16\frac{1}{16}\) for the variable \(a\).
MathBot Answer:
The 8 solutions to the equation are: \[\begin{aligned}a &= -2\\a &= - \frac{1}{2} = -0.5\\a &= \frac{1}{2} = 0.5\\a &= 2\\a &= -2 i\\a &= - \frac{1}{2} i = -0.5 i\\a &= \frac{1}{2} i = 0.5 i\\a &= 2 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).