solve y = -2.732e-6x^3+2.65e-3x^2+1.546e-1x -3.45 for x

asked by guest
on Jan 23, 2025 at 8:59 am



You asked:

Solve the equation \[y = -\left( 2.732 e \right) - 6 {x}^{3} + 2.65 e - 3 {x}^{2} + 1.546 e - 1 x - 3.45\] for the unknown \(x\).

MathBot Answer:

$$\begin{aligned}x &= - \frac{\sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}{3} - \frac{1}{6} + \frac{1}{12 \sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}\\x &= - \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}{3} - \frac{1}{6} + \frac{1}{12 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}\\x &= - \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}{3} - \frac{1}{6} + \frac{1}{12 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9 y}{4} + \frac{\sqrt{\left(\frac{9 y}{2} - \frac{1647 e}{250} + \frac{601}{40}\right)^{2} + \frac{1}{16}}}{2} - \frac{1647 e}{500} + \frac{601}{80}}}\end{aligned}$$

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