y=x^3+6*x y=12*x^2+1

$$y = x^{3} + 6 x$$

2
y = 12*x + 1

$$y = 12 x^{2} + 1$$

$$x_{1} = 7^{frac{2}{3}} + 2 sqrt[3]{7} + 4$$
=
$$7^{frac{2}{3}} + 2 sqrt[3]{7} + 4$$
=

11.4851680755677

$$y_{1} = 144 cdot 7^{frac{2}{3}} + 276 sqrt[3]{7} + 529$$
=
$$144 cdot 7^{frac{2}{3}} + 276 sqrt[3]{7} + 529$$
=

1583.90902868849

$$x_{2} = – sqrt[3]{7} – frac{7^{frac{2}{3}}}{2} + 4 – sqrt{3} sqrt[3]{7} i + frac{sqrt{3} i}{2} 7^{frac{2}{3}}$$
=
$$- sqrt[3]{7} – frac{7^{frac{2}{3}}}{2} + 4 – sqrt{3} sqrt[3]{7} i + frac{sqrt{3} i}{2} 7^{frac{2}{3}}$$
=

0.257415962216125 – 0.144242294851258*i

$$y_{2} = 529 + 276 sqrt[3]{7} left(- frac{1}{2} – frac{sqrt{3} i}{2}right) + frac{144 cdot 7^{frac{2}{3}}}{- frac{1}{2} – frac{sqrt{3} i}{2}}$$
=
$$- 138 sqrt[3]{7} – 72 cdot 7^{frac{2}{3}} + 529 – 138 sqrt{3} sqrt[3]{7} i + 72 sqrt{3} cdot 7^{frac{2}{3}} i$$
=

1.54548565575635 – 0.891126458913568*i

$$x_{3} = – sqrt[3]{7} – frac{7^{frac{2}{3}}}{2} + 4 – frac{sqrt{3} i}{2} 7^{frac{2}{3}} + sqrt{3} sqrt[3]{7} i$$
=
$$- sqrt[3]{7} – frac{7^{frac{2}{3}}}{2} + 4 – frac{sqrt{3} i}{2} 7^{frac{2}{3}} + sqrt{3} sqrt[3]{7} i$$
=

0.257415962216125 + 0.144242294851258*i

$$y_{3} = 529 + frac{144 cdot 7^{frac{2}{3}}}{- frac{1}{2} + frac{sqrt{3} i}{2}} + 276 sqrt[3]{7} left(- frac{1}{2} + frac{sqrt{3} i}{2}right)$$
=
$$- 138 sqrt[3]{7} – 72 cdot 7^{frac{2}{3}} + 529 – 72 sqrt{3} cdot 7^{frac{2}{3}} i + 138 sqrt{3} sqrt[3]{7} i$$
=

1.54548565575635 + 0.891126458913568*i

x1 = 11.48516807556775
y1 = 1583.909028688487