Question

Himpunan penyelesaian sistem persamaan y- x = 5 , y = x pangkat 2 + 5 x - 16 . dengan caranya . tolong plis jawab kan secepatnya . mksh

Answer 1

Verified answer

SPLDV

y - x = 5 ---> y = x + 5
y = x² + 5x - 16

y = y
x² + 5x - 16 = x + 5
x² + 5x - x - 16 - 5 = 0
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x = -7 atau x = 3

x = -7
y = x + 5 = -7 + 5 = -2
(-7,-2)

x = 3
y = x + 5 = 3 + 5 = 8
(3,8)

HP (x,y) = {(-7,-2) , (3,8)}