Question

Решите пожалуйста систему уравнений
x-y=6
xy=16

Answer 1

X = 6 + Y

(6+Y)Y = 16

6Y + Y^2 = 16

Y^2 + 6Y - 16 = 0

D = 36 - 4*(-16) = 36 + 64 = 100

Y 1 = -6 + 10 2 = 42 = 2

Y2 = - 6 - 10 2 = - 8

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X1 = 6 + Y1 = 6 + 2 = 8

X2 = 6 + Y2 = 6 - 8 = - 2