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Х^2+у^2=13; Ху=-6

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The solution

You have entered [src]
 2    2     
x  + y  = 13
$$x^{2} + y^{2} = 13$$
x*y = -6
$$x y = -6$$
x*y = -6
Rapid solution
$$x_{1} = -3$$
=
$$-3$$
=
-3

$$y_{1} = 2$$
=
$$2$$
=
2
$$x_{2} = -2$$
=
$$-2$$
=
-2

$$y_{2} = 3$$
=
$$3$$
=
3
$$x_{3} = 2$$
=
$$2$$
=
2

$$y_{3} = -3$$
=
$$-3$$
=
-3
$$x_{4} = 3$$
=
$$3$$
=
3

$$y_{4} = -2$$
=
$$-2$$
=
-2
Numerical answer [src]
x1 = -3.0
y1 = 2.0
x2 = -2.0
y2 = 3.0
x2 = -2.0
y2 = 3.0