SOLUTION: If x2 + y2 = 23 and x - y = 2, then what is x? If there are two possible answers, then which one is the larger of the two

Algebra ->  Linear-equations -> SOLUTION: If x2 + y2 = 23 and x - y = 2, then what is x? If there are two possible answers, then which one is the larger of the two      Log On


   

Question 827445: If x2 + y2 = 23 and x - y = 2, then what is x? If there are two possible answers, then which one is the larger of the two
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+y^2=23
x-y=x=y+2
(y+2)^2+y^2=23
y^2+4y+4+y^2=23
2y^2+4y-19=0
/2
y^2+2y-19/2=0
y^2+2y+1-1-19/2=0
(y+1)^2= 21/2
y+1= +/- sqrt(21/2)
y= -1 +/-sqrt%2821%2F2%29