Solve (x)=9x^3+18x^2-61x+44

$$( x ) = 9 x ^ { 3 } + 18 x ^ { 2 } - 61 x + 44$$

Solve for x (complex solution)

$$x=-\frac{\left(1+\sqrt{3}i\right)\left(-3\sqrt[3]{2\left(\sqrt{70626}-612\right)}i\sqrt[6]{243}-9^{\frac{2}{3}}\sqrt[3]{2\left(\sqrt{70626}-612\right)}+2\times 9^{\frac{2}{3}}\sqrt[3]{2\left(-\sqrt{70626}-612\right)}-18\sqrt{3}i+18\right)}{108}\approx -1.117849471-1.674157823i$$

$$x=\frac{9^{\frac{2}{3}}\sqrt[3]{2\left(\sqrt{70626}-612\right)}+9^{\frac{2}{3}}\sqrt[3]{2\left(-\sqrt{70626}-612\right)}-18}{27}\approx 1.00878794+2.901972505i$$

$$x=-\frac{\left(-\sqrt{3}i+1\right)\left(3\sqrt[3]{2\left(\sqrt{70626}-612\right)}i\sqrt[6]{243}-9^{\frac{2}{3}}\sqrt[3]{2\left(\sqrt{70626}-612\right)}+2\times 9^{\frac{2}{3}}\sqrt[3]{2\left(-\sqrt{70626}-612\right)}+18+18\sqrt{3}i\right)}{108}\approx -1.890938469-1.227814682i$$

Solve for x

$$x=-\frac{9^{\frac{2}{3}}\sqrt[3]{2\sqrt{70626}+1224}}{27}-\frac{9^{\frac{2}{3}}\sqrt[3]{1224-2\sqrt{70626}}}{27}-\frac{2}{3}\approx -4.017575881$$