Mister Exam
x+y=8; x^2+y^2=80
The solution
Rapid solution
$$x_{1} = 4 - 2 \sqrt{6}$$
=
$$4 - 2 \sqrt{6}$$
=
$$y_{1} = 4 + 2 \sqrt{6}$$
=
$$4 + 2 \sqrt{6}$$
=
=
$$4 - 2 \sqrt{6}$$
=
-0.898979485566356
$$y_{1} = 4 + 2 \sqrt{6}$$
=
$$4 + 2 \sqrt{6}$$
=
8.89897948556636
$$x_{2} = 4 + 2 \sqrt{6}$$
=
$$4 + 2 \sqrt{6}$$
=
$$y_{2} = 4 - 2 \sqrt{6}$$
=
$$4 - 2 \sqrt{6}$$
=
=
$$4 + 2 \sqrt{6}$$
=
8.89897948556636
$$y_{2} = 4 - 2 \sqrt{6}$$
=
$$4 - 2 \sqrt{6}$$
=
-0.898979485566356
Numerical answer
[src]
x1 = -0.8989794855663562 y1 = 8.898979485566356
x1 = -0.8989794855663562 y1 = 8.898979485566356