X^2 + y^2 = 1346
x + y = 46
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x = 46 - y
x^2 = 2116 - 92y + y^2
2116 - 92y + y^2 + y^2 = 1346
2y^2 - 92y + 770 = 0
2( y^2 - 46y + 385 ) = 0
D = 2116 - 1540 = 576 = 24^2
y1 = ( 46 + 24 ) : 2 = 35
y2 = ( 46 - 24 ) : 2 = 11
x1 = 46 - 35 = 11
x2 = 46 - 31 = 35
Ответ 11 35