Question

X-Y = 3
(X-6)kuadrat = 3(Y+3)

mencari HP.! bantu saya

Answer 1

X - y = 3
   - y = 3 - x
     y = x - 3

(x - 6)² = 3(y + 3)
(x - 6)(x - 6) = 3(y + 3)
x(x) + x(- 6) - 6(x) - 6(- 6) = 3(y) + 3(3)
x² - 6x - 6x + 36 = 3y + 9
x² - 12x + 36 = 3y + 9
x² - 12x + 36 - 3y - 9 = 0
x² - 12x - 3y + 36 - 9 = 0
x² - 12x - 3y + 27 = 0

Subtitusi y = x - 3
x² - 12x - 3y + 27 = 0
x² - 12x - 3(x - 3) + 27 = 0
x² - 12x - 3(x) - 3(- 3) + 27 = 0
x² - 12x - 3x + 9 + 27= 0
x² - 15x + 36 = 0
(x - 3)(x - 12) = 0
x - 3 = 0    atau    x - 12 = 0
      x = 3                       x = 12

Subtitusi x = 3
y = x - 3
   = 3 - 3
   = 0 (3,0)

Atau

Subtitusi x = 12
y = x - 3
   = 12 - 3
   = 9 (12,9)

HP-Nya = {3,0}, {12,9}