KUSTIAWAN SAPUTRA (Tp.Extension)

KUSTIAWAN SAPUTRA (Tp.Extension)40201214064

TUGAS : 1 (SATU)MATA KULIAH : METODA NUMERIKDOSEN : TAMTOYO, MTMetoda Bagi Dua f(x) = x^2-7,5x-19

NOXLXUF(XL)F(XU)XRF(XR)

1215-3093,58,5-10,5

28,515-10,593,511,7530,9375

38,511,75-10,530,937510,1257,578125

48,57,57813-10,5-18,407968,03906-14,66644

58,03917,57813-14,66644-18,407967,80859-16,59032

67,80867,57813-16,59032-18,407967,69336-17,51242

77,69347,57813-17,51242-18,407967,63574-17,96351

87,63577,57813-17,96351-18,407967,60693-18,18656

97,60697,57813-18,18656-18,407967,59253-18,29747

107,59257,57813-18,29747-18,407967,58533-18,35277

ALGORITMAMetoda Bagi Dua f(x) = x^2-7,5x-19 Dimana nilai XR = (XL+XU)/2

ITERASI 1XL = 2XU = 15F(XL) = 2^2-7,5*2-19=-30F(XU) = 15^2-7,5*15-19 = 93,5XR =(2+15)/2 = 8,5F(XR) = 8,5^2-7,5*8,5-19 = -10,5Dikarenakan nilai F(XR) negatif, maka XR menggantikan XL

ITERASI 2XL = 8,5XU = 15F(XL) = 8,5^2-7,5*8,5-19=-30F(XU) = 15^2-7,5*15-19 = 93,5XR =(8,5+15)/2 = 11,75F(XR) = 11,75^2-7,5*11,75-19 = 30,975Dikarenakan nilai F(XR) positif, maka XR menggantikan XU

ITERASI 3XL = 8,5XU = 11,75F(XL) = 8,5^2-7,5*8,5-19=-30F(XU) = 11,75^2-7,5*11,75-19 = 93,5XR =(8,5+11,75)/2 = 10,125F(XR) = 10,125^2-7,5*10,125-19 = 7,578Dikarenakan nilai F(XR) positif, maka XR menggantikan XU

ITERASI 4XL = 8,5XU = 7,57813F(XL) = 8,5^2-7,5*8,5-19=-10,5F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(8,5+7,57813)/2 = 8.03906F(XR) = 8.03906^2-7,5*8.03906-19 = -14,66644Dikarenakan nilai F(XR) minus, maka XR menggantikan XU

ITERASI 5XL = 8,0391XU = 7,57813F(XL) = 8,0391^2-7,5*8,0391-19=-14,66644F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(8,0391+7,57813)/2 = 7,80859F(XR) = 7,80859^2-7,5*7,80859-19 = -16,59032Dikarenakan nilai F(XR) negatif, maka XR menggantikan XLITERASI 6XL =7,8086XU = 7,57813F(XL) = 7,8086^2-7,5*7,8086-19=-16,59032F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(7,8086+7,57813)/2 = 8,5F(XR) = 8,5^2-7,5*8,5-19 = -17,51242Dikarenakan nilai F(XR) negatif, maka XR menggantikan XL

ITERASI 7XL = 7,6934XU = 7,57813F(XL) = 7,6934^2-7,5*7,6934-19=-17,51242F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(7,6934+7,57813)/2 = 7,63574F(XR) = 7,63574^2-7,5*7,63574-19 = -17,96351Dikarenakan nilai F(XR) minus, maka XR menggantikan XL

ITERASI 8XL = 7,6357XU = 7,57813F(XL) = 7,6357^2-7,5*7,6357-19=-17,96351F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(7,6357+7,57813)/2 = 7,60693F(XR) = 7,60693^2-7,5*7,60693-19 = -18,18656Dikarenakan nilai F(XR) negatif, maka XR menggantikan XL

ITERASI 9XL = 7,6069XU = 7,57813F(XL) = 7,6069^2-7,5*7,6069-19=-17,96351F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(7,6357+7,57813)/2 = 7,60693F(XR) = 7,60693^2-7,5*7,60693-19 = -18,29747Dikarenakan nilai F(XR) negatif, maka XR menggantikan XL

ITERASI 10XL = 7,5925XU = 7,57813F(XL) = 7,5925^2-7,5*7,5925-19=-18,29747F(XU) = 7,57813^2-7,5*7,57813-19 = -18,40796XR =(7,5925+7,57813)/2 = 7,58533F(XR) = 7,58533^2-7,5*7,58533-19 = -18,35277Dikarenakan nilai F(XR) negatif, maka XR menggantikan XL, hingga seterusnya.