1. x²+4x-12=0
2. x²-4x-12=0
3. x²+6x+5=0
4. x²-6x+5=0
5. x²-8x+7=0
Dengan menggunakan rumus abc. Tentukan akar-akar dari persamaan kuadrat dibawah ini!
Jawaban:
1. (x +6)(x-2)
2. (x-6)(x+2)
3. (x+5)(x+1)
4. (x-1)(x-5)
5. (x-1)(x-7)
Penjelasan dengan langkah-langkah:
1.
a = 1
b = 4
c = -12
4 ±√4² – 4(1)(–12)
2(1)
= 4 ± √16 + 48
2
=
4 ± √64
2
= 4 ± 8
2
x1 = 2 + 4 = 6
X2 = 2 -4 = -2
no 2 sama tinggal diganti – nya
x1 = – 2 + 4 = 2
X2 = -2 -4 = -6
3. dan 4 sama unt pengerjaan nya tinggal diganti + – nya
no 3
a = 1
b = 6
c = 5
no. 4
a = 1
b = -6
c = 5
6 ±√6²–4(1)(5)
2(1)
=
6 ± √36 –20
2
=
6 ±√ 16
2
=
6 ± 4
2
X1 = 3 + 2 = 5
X2 = 3 – 2 = 1
no 4
X1 = -3 + 2 = -1
X2 = -3 -2 = -5
5.
a = 1
b = -8
c = 7
–8 √8² – 4(1)(7)
2(1)
=
–8 ± √64 – 28
2
=
–8 ±√36
2
=
–8 ± 6
2
X1 = -4 + 3 = -1
X2 = -4 – 3 = -7
semoga membantu