Question

Linear Kuadrat Dua Variabel
Tentukan penyelesaian (x , y) dari :
x² - y² = 3
x² - 2xy - y² = - 1

Answer 1

Verified answer

X^2-y^2=3...(1)
x^2-2xy-y^2=-1...(2)

(1)-(2):
2xy=4
xy=2
y=2/x

x^2-(2/x)^2=3
x^4-4=3x^2
x^4-3x^2-4=0
(x^2+1)(x^2-4)=0
x^2=4
x1=2, y1=1
x2=-2, y1=-1

itu yg real
kalo kompleks mau dimasukkin:
x3=i, y3=2/i*i/i=2i/(-1)=-2i
x4=-i, y4=2/(-i)*=-2/i*i/i=-2i/(-1)=2i