Система уравнений x^2+y^2=41 y+х=9

Question

Система уравнений x^2+y^2=41 y+х=9

Answer 1

Х^2 + y^2 = 41
y + x = 9
••••••••••
y = 9 - x
X^2 + ( 9 - x )^2 = 41
X^2 + 81 - 18x + x^2 - 41 = 0
2x^2 - 18x + 40 = 0
2( x^2 - 9x + 20 ) = 0
D = 81 - 80 = 1 = 1^2
X1 = ( 9 + 1 ) : 2 = 5
X2 = ( 9 - 1 ) : 2 = 4
y = 9 - x
y1 = 9 - 5 = 4
y2 = 9 - 4 = 5
Ответ ( 5 ; 4 ) ; ( 4 ; 5 )