Jawab:
Penjelasan dengan langkah-langkah:
^ artinya pangkat
3^(2x³ - x² + 5x + 3) = (1/3)^(-x³ + 3x² - 6x - 5)
3^(2x³ - x² + 5x + 3) = 3^(-1 (-x³ + 3x² - 6x - 5))
3^(2x³ - x² + 5x + 3) = 3^(x³ - 3x² + 6x + 5)
2x³ - x² + 5x + 3 = x³ - 3x² + 6x + 5
2x³ - x³ - x² + 3x² + 5x - 6x + 3 - 5 = 0
x³ + 2x² - x - 2 = 0
a = 1; b = 2; c = -1; d = -2
Hasil jumlah akar-akar
= -b/a
= -2/1
= -2
Hasil kali akar-akar
= -d/a
= - (-2)/1
= 2
Kode kategorisasi : 11.2.5
Kelas 11
Pelajaran Matematika
Bab 5 - Suku Banyak
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Jawab:
Penjelasan dengan langkah-langkah:
^ artinya pangkat
3^(2x³ - x² + 5x + 3) = (1/3)^(-x³ + 3x² - 6x - 5)
3^(2x³ - x² + 5x + 3) = 3^(-1 (-x³ + 3x² - 6x - 5))
3^(2x³ - x² + 5x + 3) = 3^(x³ - 3x² + 6x + 5)
2x³ - x² + 5x + 3 = x³ - 3x² + 6x + 5
2x³ - x³ - x² + 3x² + 5x - 6x + 3 - 5 = 0
x³ + 2x² - x - 2 = 0
a = 1; b = 2; c = -1; d = -2
Hasil jumlah akar-akar
= -b/a
= -2/1
= -2
Hasil kali akar-akar
= -d/a
= - (-2)/1
= 2
Kode kategorisasi : 11.2.5
Kelas 11
Pelajaran Matematika
Bab 5 - Suku Banyak