x^4 +2x^2 -6x^3 +96x -144=0
You asked:
Solve the equation \({x}^{4} + 2 {x}^{2} - 6 {x}^{3} + 96 x - 144 = 0\) for the variable \(x\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}x &= -1 + \sqrt{7} \approx 1.6457513\\x &= -1 - \sqrt{7} \approx -3.6457513\\x &= 4 - 2 \sqrt{2} i = 4 -2.8284271 i\\x &= 4 + 2 \sqrt{2} i = 4 + 2.8284271 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).