حل x=43*3-27562*5/left(x+7*35right)^2

$$x = 43 \cdot 3- \frac{ 27562 \cdot 5 }{ { \left(x+7 \cdot 35 \right) }^{ 2 } }$$

برای x حل کنید (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}+139876\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}-361}{3}\approx 128.009531029-7.105427358 \cdot 10^{-15}i\text{, }&\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}+139876\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}-361}{3}\neq -245\\x=\frac{\sqrt{3}i\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{69938\sqrt{3}i\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{69938\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{361}{3}\approx -263.732340081-6.75015599 \cdot 10^{-14}i\text{, }&\frac{139876\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3\times \frac{-1+\sqrt{3}i}{2}}+\frac{\sqrt{3}i\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{361}{3}\neq -245\\x=-\frac{\sqrt{3}i\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}+\frac{69938\sqrt{3}i\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{69938\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{361}{3}\approx -225.277190947+7.460698725 \cdot 10^{-14}i\text{, }&-\frac{\sqrt{3}i\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}+\frac{69938\sqrt{3}i\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{\sqrt[3]{50453189+3\sqrt{21243441749295}i}}{6}-\frac{69938\left(50453189+3\sqrt{21243441749295}i\right)^{-\frac{1}{3}}}{3}-\frac{361}{3}\neq -245\end{matrix}\right.$$

برای x حل کنید

$$x=\frac{-374\sqrt{3}\sin(\frac{\arccos(\frac{50453189}{52313624})}{3})-374\cos(\frac{\arccos(\frac{50453189}{52313624})}{3})-361}{3}\approx -263.732340081$$

$$x=\frac{748\cos(\frac{\arccos(\frac{50453189}{52313624})}{3})-361}{3}\approx 128.009531029$$

$$x=\frac{374\sqrt{3}\sin(\frac{\arccos(\frac{50453189}{52313624})}{3})-374\cos(\frac{\arccos(\frac{50453189}{52313624})}{3})-361}{3}\approx -225.277190947$$