Question

Tentukan HP dari x-y=3 dan (x-6) (x-6) = 3 (y+3)

Answer 1

Tentukan HP dari x-y=3 dan (x-6) (x-6) = 3
(y+3)

JAWAB

◆ x - y = 3 → x = y + 3
◆ x² - 12x + 36 = 3y + 9
⇨ (y+3)² - 12(y+3) + 36 = 3y + 9
⇨ y² + 6y + 9 - 12y - 36 + 36 = 3y + 9
⇨ y² - 9y = 0
⇨ y(y - 9) = 0
⇨ y = 9

Untuk y = 9 maka
⇨ x = y + 3 = 9+3 = 12

HP = {12, 9}

Answer 2

X-y = 3
x - 3 = y
3x - 9 = 3y (persm 1)

(x-6)(x-6) = 3y + 9
x^2 - 12x +36 = 3y + 9
x^2 - 12x +36 = 3x - 9 +9
x^2 - 15x + 36 = 0
(x-12)(x-3) = 0
x = 12 atau x = 3
kalau x =12 maka y =9
kalau x = 3 maka y = 0