tentukan hp dari { x^2 - xy + y^2 - 7 = 0 { x - 2y + 1 = 0 pr buat hari senin

Kuadrat Dua Variabel - Linear.


x - 2y + 1 = 0
x = 2y - 1.


Substitusi
(2y-1)² - (2y-1)y + y² - 7 = 0
4y² -4y + 1 - 2y² + y + y² - 7 = 0
3y² - 3y - 6 = 0
y² - y - 2 = 0
(y -2)(y+1) = 0

y = 2 v y = -1

Substitusi
y = 2
x = 2(2)-1 = 3

y = -1
x = 2(-1) - 1 = -3

Hp
= { ( 3,2) , (-3,-1) }