(27x^4)/(0.20911-2x)^2=0.83
You asked:
Solve the equation \(\frac{27 {x}^{4}}{{\left( 0.20911 - 2 x \right)}^{2}} = 0.83\) for the variable \(x\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}x &= \sqrt{\frac{83}{2700} + \frac{20911 \sqrt{249}}{9000000}} - \frac{\sqrt{249}}{90} \approx 0.084292573\\x &= \frac{\sqrt{249}}{90} + \sqrt{\frac{83}{2700} - \frac{20911 \sqrt{249}}{9000000}} \approx 0.17533038 + 0.076958393 i\\x &= \frac{\sqrt{249}}{90} - \sqrt{\frac{83}{2700} - \frac{20911 \sqrt{249}}{9000000}} \approx 0.17533038 -0.076958393 i\\x &= - \sqrt{\frac{83}{2700} + \frac{20911 \sqrt{249}}{9000000}} - \frac{\sqrt{249}}{90} \approx -0.43495332\end{aligned}\]