SOLUTION: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28.

Question 1074895: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a line interesting with a circle.
y=-x+6
x^2+x^2-12x+36=28
2x^2-12x+8=0
x^2-6x+4=0
x=(1/2)(6+/- sqrt (36-16); sqrt term is 2 sqrt (5)
x=3+/- sqrt (5)
numerically where x=5.24 and 0.76
where y=0.76 and 5.24.
Half circle shown below.

(5.24,0.76) and (0.76,5.24) numerically.
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