Persamaan kuadrat 2x² + ax - 6 = 0 mempunyai akar x1 dan x2. Jika x1= 3/2, nilai x1 + x2 = ...
Matematika
Taniamustika27
Pertanyaan
Persamaan kuadrat 2x² + ax - 6 = 0 mempunyai akar x1 dan x2. Jika x1= 3/2, nilai x1 + x2 = ...
1 Jawaban
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1. Jawaban bapakdr
substitusi x1 = 3/2
2(3/2)² + a(3/2) - 6 = 0
2(9/4) + 3a/2 = 6
18/4 + 6a/4 = 6
(18+6a)/4 = 6
18 + 6a = 6 × 4
6a = 24 - 18
6a = 6
a = 1
persamaan kuadrat
2x² + 1x - 6 = 0
x1 + x2 = -b/a = -1/2