Question

Himpunan penyelesaian sistem persamaan y-x=5 dan y=x2+5x-16 adalah...

Answer 1

Verified answer

Kelas 10 Matematika
Bab Persamaan dan Fungsi Kuadrat

y - x = 5
y = x + 5

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

y = x + 5
y = -7 + 5
y = -2

(-7, -2)

x - 3 = 0
x = 3

y = x + 5
y = 3 + 5
y = 8

(3, 8)

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