find two numbers whose sum is 13 and the sum of whose square is 145

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Let the numbers be x,yx+y=13x^2+y^2=145(x+y)^2-2xy=14513^2-2xy=1452xy=169-145=24xy=12  x=12/yplug in the first equation,12/y+y=1312+y^2=13yy^2-13y+12=0    (y-12)(y-1)=0   y=12,1So x=1,12