Question

система управления x^2+y^2=17 xy=4

Answer 1

Управления?

x^2 + y^2 = 17
xy = 4

x^2 + 2xy + y^2 = 25 -> (x+y)^2 = 5^2 -> x+y = +-5
x^2 - 2xy + y^2 = 9 -> (x-y)^2 = 3^3 -> x-y = +-3
2x = +-5 +-3 -> x = {+-4, +-1}
2y = +-5 -+3 -> y = {+-1, +-4}

{ (-4,-1), (-1,-4), (1,4), (4,1) }