Układ równań: (x-1)potęga2 - (y+2)potęga2 =(x-y)(x+y) 2x+y=0

(x-1)2-(y+2)2=(x-y)(x+y) 2x+y=0 _________________________________________ x2-2x+1-y2-4y-4=x2-y2 /-x2+y2 2x+y=0 ______________________________________________ -2x-3-4y=0 /+3 2x+y=0 ______________________________ -2x-4y=3 2x+y=0 _________________________ dodajemy stronami -3y=3 /:(-3) y=-1 2x-1=0 ___________________________ y=-1 2x=1 /:2 _____________________________-- y=-1 x=1/2

{ (x - 1)² - (y + 2)² = (x - y)(x + y) { 2x + y = 0 { x² - 2x + 1 - (y² + 4y + 4) = x² - y² { 2x + y = 0 { x² - 2x + 1 - y² - 4y - 4 - x² + y² = 0 { 2x + y = 0 { - 2x - 4y - 3 = 0 { 2x + y = 0 { - 2x - 4y = 3 { 2x + y = 0 _____________ - 3y = 3 /:(- 3) y = - 1 2x + y = 0 2x - 1 = 0 2x = 1 /:2 x = ½ { x = ½ { y = - 1