Tugas metode numerik kelompok 4
Transcript of Tugas metode numerik kelompok 4
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KELOMPOK 4:
OKTIFA HARMANINGSIH (A1C009077)RIZKA RUSDI (A1C009039)
MENCARi AKAR PERSAMAAN
KUADRAT
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PERHITUNGAN KALKULATOR
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PENCARIAN AKAR PERSAMAAN KUADRAT
Persamaan
Maka akar persamaannya dapat dicari dengan :
02 cbxax
a
acbbx
2
42
1
a
acbbx
2
42
2
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Untuk nilai b>0 dan c=0misal untuk, a = 1,34; b=0,7; c=0
Maka persamaannya yaitu :Jadi untuk mencari nilai akar persamaannya
yaitu :
07,034,1 2 xx
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PROGRAM PADA MATLAB
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HASIL PROGRAM YANG DIJALANKAN
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GRAFIK FUNGSI KUADRAT
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BISECTIONITERASI 1
A(-0.55, 0) B(-0.42, 0)r (-0.485, 0)
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ITERASI 2
A(-0.55, 0) r(-0.5175, 0) B(-0.485, 0)
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ITERASI 3
A(-0.55, 0) B(-0.5175, 0)
r(-0.53375, 0)
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ITERASI 4
A(-0.53375, 0) B(-0.5175, 0)
r(-0.525625, 0)
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REGULA FALSI ITERASI 1
r (-0,51607, 0)
A
B
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TERASI 2
r (-0,522067, 0)
A
B
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REGULA FALSI ITERASI 1
r (-0,51607, 0)
A
B
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NEWTON RAPHSONITERASI 1
A(-0.55, 0)
B(-0.55, 0,203)
x (-0.5237, 0)
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NEWTON RAPHSONITERASI 2
A(-0.5237, 0)
B(-0.5233, 0)
B (-0.5237, 0,00092)
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SECANTITERASI 1
B(-0.55, -0,5762)
A(-0.55, 0,203)
x (-0.5160, 0)
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SECANTITERASI 1
B(-0.55, -0,5762)
A(-0.55, 0,203)
x (-0.5160, 0)