y=3.58*(x^(-0.85))
solve this equation for x
You asked:
MathBot Answer:
$$\begin{aligned}x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{\pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{\pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{\pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{\pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{2 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{2 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{2 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{2 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{3 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{3 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{3 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{3 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{4 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{4 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{4 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{4 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{5 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{5 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{5 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{5 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{6 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{6 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{6 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{6 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{7 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{7 \pi}{17} \right)}}{500}\\x &= - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{7 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{7 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{8 \pi}{17} \right)}}{500} - \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{8 \pi}{17} \right)}}{500}\\x &= \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} \sqrt[17]{\frac{1}{y^{20}}} \cos{\left(\frac{8 \pi}{17} \right)}}{500} + \frac{179 \cdot 179^{\frac{3}{17}} \cdot \sqrt[17]{800000000000} i \sqrt[17]{\frac{1}{y^{20}}} \sin{\left(\frac{8 \pi}{17} \right)}}{500}\end{aligned}$$ and \(x \neq 0\)