t^4-t^2=2
You asked:
Solve the equation \({t}^{4} - {t}^{2} = 2\) for the variable \(t\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}t &= i\\t &= \sqrt{2} \approx 1.4142136\\t &= -i\\t &= - \sqrt{2} \approx -1.4142136\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).