Soal & Kunci Jawaban Matematika Kelas 9 SMP Halaman 81 82 Kurikulum 2013, Kerjakan Persamaan Kuadrat

a. a. 3x⊃2; – 12 = 0
3x⊃2; – 12 = 0
Maka a = 3, b = 0, c = -12
Jadi Diskiriminan = 0⊃2; – 4(3)(–12) = 144

b. x⊃2; + 7x + 6 = 0
x⊃2; + 7x + 6 = 0
Maka a = 1, b = 7, c = 6
Jadi Diskiriminan = 7⊃2; – 4(1)(6) = 49 – 24 = 25

c. -3x⊃2; - 5x + 2 = 0
-3x⊃2; - 5x + 2 = 0
Maka a = -3, b = -5, c = 2

Jadi Diskiriminan = (–5)⊃2; – 4(–3)(2) = 25 + 24 = 49

Soal nomor 6

3x⊃2; – 5x + c = 0
Maka a = 3, b = -5

Jika D = b⊃2; - 4ac, D = 49
49 = (-5)⊃2; - 4.3.c
49 - 25 = -12.c
-12.c = 24
c = - 24/12
c = - 2

Soal nomor 7

3x² = 2x – 4
Maka 3x² – 2x + 4 = 0

Soal nomor 8

a. x² – 5x + 6 = 0
x – 3 = 0 dan x – 2 = 0
Maka x = 3 atau x = 2

b. b. x² + 2x – 15 = 0
x + 5 = 0 dan x - 3 = 0
Maka x = -5 atau x = 3

c. x^2 + 4x – 12 = 0
x + 6 = 0 dan x - 2 = 0
Maka x = -6 atau x = 2

Soal nomor 9

α = 2 dan β = 5
(X + α) . (x + β)
(x + 2 )(x + 5) = 0
x² + 5x + 2x + 10
Maka persamaan kuadratnya menjadi x² + 7x + 10