Latihan Soal dan Pembahasan Matematika Kelas 9 SMP Halaman 81 Bab 2 Persamaan Kuadrat

α . β = c/a = 2/3

Akar-akar persamaan kuadrat baru: x₁ =(α + 2) dan x₂ = (β + 2)

Rumus persamaan kuadrat baru:

x² – (x₁ + x₂) + (x₁. x₂) = 0

x² – (α +2 + β + 2)x + ((α + 2) (β + 2)) = 0

x² – (α + β + 4)x + (αβ + 2α + 2β + 4) = 0

x² – (α + β + 4)x + (αβ + 2(α + β) + 4) = 0

x² – (4 + 4)x + (2/3 + 2.4 + 4) = 0

x² – 8x + (2/3 + 12) = 0

x² – 8x + (38/3) = 0 (x3)