jika determinan matriks P = [ 2x 2x] [1 x-3] bernilai 24.carilah nilai yang mungkin!
Matematika
raimah
Pertanyaan
jika determinan matriks P = [ 2x 2x]
[1 x-3] bernilai 24.carilah nilai yang mungkin!
[1 x-3] bernilai 24.carilah nilai yang mungkin!
1 Jawaban
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1. Jawaban kekkaiisshi
[tex] P = \left[\begin{array}{ccc}2x&2x\\1&x-3\end{array}\right] \\ det P = 24 \\ 2x.(x-3) - 2x.1 = 24 \\ 2x^{2} - 6x - 2x = 24 \\ 2x^{2} - 8x - 24 = 0 \\ x^{2} - 4x - 12 = 0 \\ (x + 2)(x - 6) = 0 \\ x + 2 = 0 atau x - 6 = 0 \\ x = -2 atau x = 6[/tex]