2x^4-9x^3+13x^2-15x+9 divided by x-3 = 2x^3-3x^2+4x-3
You asked:
Solve the equation \(2 \cdot {x}^{4} - 9 \cdot {x}^{3} + 13 \cdot {x}^{2} - 15 x + \frac{9}{x} - 3 = 2 \cdot {x}^{3} - 3 \cdot {x}^{2} + 4 x - 3\) for the variable \(x\).
MathBot Answer:
The 5 solutions to the equation are: \[\begin{aligned}x &\approx -0.53793644\\x &\approx 0.86244611\\x &\approx 4.0974436\\x &= 0.53902334795882 - 1.44106307590886 i \approx 0.53902335 -1.4410631 i\\x &= 0.53902334795882 + 1.44106307590886 i \approx 0.53902335 + 1.4410631 i\end{aligned}\]
Solutions were approximated using numerical methods.