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x^2+7у=-4; 2x^2-3y=21

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The solution

You have entered [src]
 2           
x  + 7*y = -4
$$x^{2} + 7 y = -4$$
   2           
2*x  - 3*y = 21
$$2 x^{2} - 3 y = 21$$
2*x^2 - 3*y = 21
Rapid solution
$$x_{1} = - \frac{3 \sqrt{255}}{17}$$
=
$$- \frac{3 \sqrt{255}}{17}$$
=
-2.81800930988317

$$y_{1} = - \frac{29}{17}$$
=
$$- \frac{29}{17}$$
=
-1.70588235294118
$$x_{2} = \frac{3 \sqrt{255}}{17}$$
=
$$\frac{3 \sqrt{255}}{17}$$
=
2.81800930988317

$$y_{2} = - \frac{29}{17}$$
=
$$- \frac{29}{17}$$
=
-1.70588235294118
Numerical answer [src]
x1 = 2.818009309883173
y1 = -1.705882352941176
x2 = -2.818009309883173
y2 = -1.705882352941176
x2 = -2.818009309883173
y2 = -1.705882352941176