x^2(-7x^1-6)=x+59 କୁ ସମାଧାନ କରନ୍ତୁ

$${ x }^{ 2 } (-7 { x }^{ 1 } -6)=x+59$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ (ଜଟଳି ସମାଧାନ)

$$x=-\frac{12^{\frac{5}{6}}\times 18^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(\left(-\sqrt[3]{7\sqrt{13835181}-26037}+2\sqrt[3]{-7\sqrt{13835181}-26037}\right)\sqrt[6]{12}-\sqrt[3]{18\left(7\sqrt{13835181}-26037\right)}i-2\sqrt{3}\sqrt[3]{18}i\sqrt[6]{12}+2\sqrt[3]{18}\sqrt[6]{12}\right)}{6048}\approx 0.715357875-1.762849849i$$

$$x=\frac{18^{\frac{2}{3}}\left(\sqrt[3]{7\sqrt{13835181}-26037}+\sqrt[3]{-7\sqrt{13835181}-26037}-2\sqrt[3]{18}\right)}{126}\approx 0.740422386+1.777320851i$$

$$x=-\frac{12^{\frac{5}{6}}\times 18^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(\left(-\sqrt[3]{7\sqrt{13835181}-26037}+2\sqrt[3]{-7\sqrt{13835181}-26037}\right)\sqrt[6]{12}+\sqrt[3]{18\left(7\sqrt{13835181}-26037\right)}i+2\sqrt{3}\sqrt[3]{18}i\sqrt[6]{12}+2\sqrt[3]{18}\sqrt[6]{12}\right)}{6048}\approx -2.312923119-0.014471002i$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$x=-\frac{18^{\frac{2}{3}}\sqrt[3]{7\sqrt{13835181}+26037}}{126}-\frac{18^{\frac{2}{3}}\sqrt[3]{26037-7\sqrt{13835181}}}{126}-\frac{2}{7}\approx -2.33798763$$