2*x^3+3*x^2-23*x+36=0

$$- 23 x + 2 x^{3} + 3 x^{2} + 36 = 0$$

____________________ / ____________________
/ ________ | / ________ |
/ 3*/ 393549 | ___ / 3*/ 393549 |
3 / 324 + ———— | ___ / 3 *3 / 324 + ———— |
1 / 8 49 | 49*/ 3 / 8 |
x1 = – – + ————————- + ————————— + I*|- ————————— + ——————————-|
2 6 ____________________ | ____________________ 6 |
/ ________ | / ________ |
/ 3*/ 393549 | / 3*/ 393549 |
8*3 / 324 + ———— | 8*3 / 324 + ———— |
/ 8 / 8 /

$$x_{1} = – frac{1}{2} + frac{49}{8 sqrt[3]{frac{3 sqrt{393549}}{8} + 324}} + frac{1}{6} sqrt[3]{frac{3 sqrt{393549}}{8} + 324} + i left(- frac{49 sqrt{3}}{8 sqrt[3]{frac{3 sqrt{393549}}{8} + 324}} + frac{sqrt{3}}{6} sqrt[3]{frac{3 sqrt{393549}}{8} + 324}right)$$

____________________ / ____________________
/ ________ | / ________ |
/ 3*/ 393549 | ___ / 3*/ 393549 |
3 / 324 + ———— | / 3 *3 / 324 + ———— ___ |
1 / 8 49 | / 8 49*/ 3 |
x2 = – – + ————————- + ————————— + I*|- ——————————- + —————————|
2 6 ____________________ | 6 ____________________|
/ ________ | / ________ |
/ 3*/ 393549 | / 3*/ 393549 |
8*3 / 324 + ———— | 8*3 / 324 + ———— |
/ 8 / 8 /

$$x_{2} = – frac{1}{2} + frac{49}{8 sqrt[3]{frac{3 sqrt{393549}}{8} + 324}} + frac{1}{6} sqrt[3]{frac{3 sqrt{393549}}{8} + 324} + i left(- frac{sqrt{3}}{6} sqrt[3]{frac{3 sqrt{393549}}{8} + 324} + frac{49 sqrt{3}}{8 sqrt[3]{frac{3 sqrt{393549}}{8} + 324}}right)$$

____________________
/ ________
/ 3*/ 393549
3 / 324 + ————
1 49 / 8
x3 = – – – ————————— – ————————-
2 ____________________ 3
/ ________
/ 3*/ 393549
4*3 / 324 + ————
/ 8

$$x_{3} = – frac{1}{3} sqrt[3]{frac{3 sqrt{393549}}{8} + 324} – frac{49}{4 sqrt[3]{frac{3 sqrt{393549}}{8} + 324}} – frac{1}{2}$$

x1 = 1.6165738755 – 1.09071302888*i

x2 = 1.6165738755 + 1.09071302888*i

x3 = -4.73314775100000