2x^4-8x^2-24=0
You asked:
Solve the equation \(2 \cdot {x}^{4} - 8 \cdot {x}^{2} - 24 = 0\) for the variable \(x\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}x &= \sqrt{6} \approx 2.4494897\\x &= - \sqrt{6} \approx -2.4494897\\x &= \sqrt{2} i \approx 1.4142136 i\\x &= - \sqrt{2} i \approx -1.4142136 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).