6x²=19x-15, persamaan kuadrat
6x² = 19x – 15
6x² – 19x + 15 = 0
6x² – 9x – 10x + 15 = 0
3x(2x – 3) – 5(2x – 3) = 0
(3x – 5) (2x – 3) = 0
3x – 5 = 0
3x = 5
x = 5/3
2x – 3 = 0
2x = 3
x = 3/2
Jadi, akar-akarnya = 5/3 dan 3/2
Penjelasan dengan langkah-langkah:
6x²-19x+15=0
(3x+5)(2x+3)=0
x=-5/3 x=-3/2