304*x^3+25*x^2+350*x+5=0

$$350 x + 304 x^{3} + 25 x^{2} + 5 = 0$$

____________________________ / ____________________________
/ __________ | / __________ |
/ 5716295 5*/ 43235609 | ___ / 5716295 5*/ 43235609 |
3 / ——— + ————– | ___ / 3 *3 / ——— + ————– |
25 / 758550528 138624 318575 | 318575*/ 3 / 758550528 138624 |
x1 = – — – ——————————— + —————————————– + I*|- —————————————– – —————————————|
912 2 ____________________________ | ____________________________ 2 |
/ __________ | / __________ |
/ 5716295 5*/ 43235609 | / 5716295 5*/ 43235609 |
1663488*3 / ——— + ————– | 1663488*3 / ——— + ————– |
/ 758550528 138624 / 758550528 138624 /

$$x_{1} = – frac{1}{2} sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}} – frac{25}{912} + frac{318575}{1663488 sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}} + i left(- frac{sqrt{3}}{2} sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}} – frac{318575 sqrt{3}}{1663488 sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}}right)$$

____________________________ / ____________________________
/ __________ | / __________ |
/ 5716295 5*/ 43235609 | ___ / 5716295 5*/ 43235609 |
3 / ——— + ————– |/ 3 *3 / ——— + ————– ___ |
25 / 758550528 138624 318575 | / 758550528 138624 318575*/ 3 |
x2 = – — – ——————————— + —————————————– + I*|————————————— + —————————————–|
912 2 ____________________________ | 2 ____________________________|
/ __________ | / __________ |
/ 5716295 5*/ 43235609 | / 5716295 5*/ 43235609 |
1663488*3 / ——— + ————– | 1663488*3 / ——— + ————– |
/ 758550528 138624 / 758550528 138624 /

$$x_{2} = – frac{1}{2} sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}} – frac{25}{912} + frac{318575}{1663488 sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}} + i left(frac{318575 sqrt{3}}{1663488 sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}} + frac{sqrt{3}}{2} sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}right)$$

____________________________
/ __________
25 / 5716295 5*/ 43235609 318575
x3 = – — + 3 / ——— + ————– – —————————————-
912 / 758550528 138624 ____________________________
/ __________
/ 5716295 5*/ 43235609
831744*3 / ——— + ————–
/ 758550528 138624

$$x_{3} = – frac{318575}{831744 sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}} – frac{25}{912} + sqrt[3]{frac{5716295}{758550528} + frac{5 sqrt{43235609}}{138624}}$$

x1 = -0.0339695323148 – 1.07200302365*i

x2 = -0.0142977774758000

x3 = -0.0339695323148 + 1.07200302365*i