Question

Решите систему уравнений {2х+у=1, х^2-11х+14=2у

Answer 1

2х + y = 1
X^2 - 11x + 14 = 2y
••••••••
y = 1 - 2x
2y = 2 - 4x
2 - 4x = x^2 - 11x + 14
X^2 - 7x + 12 = 0
D = 49 - 48 = 1
X1 = ( 7 + 1 ) : 2 = 4
X2 = ( 7 - 1 ) : 2 = 3
•••••••••
y = 1 - 2x
y1 = 1 - 8 = - 7
y2 = 1 - 6 = - 5
Ответ ( 4 ; - 7 ) ; ( 3 ; - 5 )