{x + y = 6
{y² = 8x
.
{y = 6 - x
{(6-x)² = 8x
{36 - 12x + x² - 8x = 0
{x² - 20x + 36 = 0
D = 400 - 144 = 16²
x1,2 = (20 ± 16):2
x = 18 или x = 2
{x = 18 {x = 2
{y = -12 {y = 4
ответ: (18;-12), (2;4)
{x + y = 6
{y² = 8x
.
{y = 6 - x
{(6-x)² = 8x
.
{y = 6 - x
{36 - 12x + x² - 8x = 0
.
{y = 6 - x
{x² - 20x + 36 = 0
.
D = 400 - 144 = 16²
x1,2 = (20 ± 16):2
x = 18 или x = 2
{x = 18 {x = 2
{y = -12 {y = 4
ответ: (18;-12), (2;4)