Find all pairs of real numbers (x,y) such that x+y=6 and x^2+y^2=28.
x = 3-sqrt(5) ≈ 0.763932 and y = 3+sqrt(5) ≈ 5.23607
x = 3+sqrt(5) ≈ 5.23607 and y = 3-sqrt(5) ≈ 0.763932
You've gone a little wrong in the second line of your development of y1 and y2 Omi.
For y1: \(6-(3-\sqrt5)\rightarrow3+\sqrt5\) not \(9+\sqrt5\)
A similar comment holds for y2.
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Omi67:
The two values of "y" are wrong. They do not balance the equations.
