y-x=6 y=xpangkat2 tentukan himpunan penyelesaian sistem persamaan

Materi Sistem Persamaan Nonlinear

[tex] y = x - 6 \\ \text{Substitusikan}~y = x^2 \\ x^2= x-6 \\ x^2 - x + 6 = 0 \\ (x-3)(x+2) = 0 \\ x = 3 \lor x = -2 \\ \text{Substitusikan}~x = 3 \\ y = 3^2 = 9 \\ \text{Substitusikan}~x = -2 \\ y = (-2)^2 = 4 \\ HP = \{(3,9),(-2,4)\} [/tex]