|5x-7|=13 bagaimana penyelesaian nya?

Mapel : Matematika Wajib (Kelas X SMA)
Materi : Nilai Mutlak
Indikator : Mencari HP dalam suatu persamaan nilai mutlak

Langkah Penyelesaian dan Jawaban :
|5x - 7| = 13

- Gunakan sifat :
|f(x)| = a, maka f(x) = a, atau f(x) = - a

|5x - 7| = 13
5x - 7 = 13
5x = 13 + 7
5x = 20
x = 4

|5x - 7| = 13
5x - 7 = - 13
5x = - 13 + 7
5x = - 6
x = - 6/5

Maka :
HP = {- 6/5, 4}

|5x - 7| = 13
|5x - 7| = 5x - 7 = 13 dan -(5x - 7) = 13

Untuk 5x - 7 = 13
5x - 7 = 13
5x = 20
x = 4

Untuk -(5x -7) = 13
-5x + 7 = 13
-5x = 6
x = -6/5

HP = {4 , -6/5)


Bisa juga pake cara kuadrat

|5x - 7| = 13
(5x - 7)² = 13²
(5x-7)² - (13)² = 0
{(5x-7)-(13)} {(5x-7) + (13) = 0
{(5x - 20)(5x + 6)} = 0

5x - 20 = 0
5x = 20
x = 4

5x + 6 = 0
5x = -6
x = -6/5

#Rere