Jawab:
Persamaan Kuadrat (10.2.5)
ax² + bx + c = 0 , akar akarnya x1 dan x2
Jumlah akar akar x1 + x2 = - b/a
Hasil kali akar x1. x2 = c/a
Penjelasan dengan langkah-langkah:
x² -6x + (2a - 1) =0 akar akarnya x1 dan x2
x1 + x2 = - (- 6)/1 = 6
x1 + x2 = 6
beda akar 10 --> x1 - x2 = 10
..
i) eliminasi
x1 - x2 = 10 ....(jumlahkan)
2x1 = 16
x1 = 8
8 + x2 = 6
x2 = 6 - 8
x2= - 2
.
(1) jumlah akar akar = x1 +x 2 = 6
(2) Hasil kali akar akar = x1. x2= (8)(-2) = -16
(3) jumlah kuadrat = x1²+ x2²
x1² + x2² = (x1 + x2)² - 2 (x1. x2)
x1² + x2² = (6)² - 2 (-16)
x1² + x2² = 36 + 32
x1² + x2² = 68
(4) Hasil kali kebalikan = 1/x1 . 1/x2
1/x1 . 1/x2 = 1 / (x1. x2)
1/x1 . 1/x2 = 1/(-16)
1/x1 . 1/x2 = - 1/16
(1),(2),(4)
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Jawab:
Persamaan Kuadrat (10.2.5)
ax² + bx + c = 0 , akar akarnya x1 dan x2
Jumlah akar akar x1 + x2 = - b/a
Hasil kali akar x1. x2 = c/a
Penjelasan dengan langkah-langkah:
x² -6x + (2a - 1) =0 akar akarnya x1 dan x2
x1 + x2 = - (- 6)/1 = 6
x1 + x2 = 6
beda akar 10 --> x1 - x2 = 10
..
i) eliminasi
x1 + x2 = 6
x1 - x2 = 10 ....(jumlahkan)
2x1 = 16
x1 = 8
x1 + x2 = 6
8 + x2 = 6
x2 = 6 - 8
x2= - 2
.
(1) jumlah akar akar = x1 +x 2 = 6
(2) Hasil kali akar akar = x1. x2= (8)(-2) = -16
(3) jumlah kuadrat = x1²+ x2²
x1² + x2² = (x1 + x2)² - 2 (x1. x2)
x1² + x2² = (6)² - 2 (-16)
x1² + x2² = 36 + 32
x1² + x2² = 68
(4) Hasil kali kebalikan = 1/x1 . 1/x2
1/x1 . 1/x2 = 1 / (x1. x2)
1/x1 . 1/x2 = 1/(-16)
1/x1 . 1/x2 = - 1/16
Jawab:
(1),(2),(4)
Penjelasan dengan langkah-langkah: