Jawaban : f(x) = 4x3 15x2 + 17x 6iterasi 1 :ambil x0 = -1 dan x1 = 3 f(-1) = 4(-1)3 15(-1)2 + 17(-1) 6 = -42f(3) = 4(3)3 15(3)2 + 17(3) 6 = 18x2 = (3) = 1.8iterasi 2 :ambil x1 = 3 dan x2 = 1.8f(1.8) = 4(1.8)3 15(1.8)2 + 17(1.8) 6 = -0.672x3 = (1.8) = 1.84319iterasi 3 :ambil x2 = 1.8 dan x3 = 1.84319f(1.84319) = 4(1.84319)3 15(1.84319)2 + 17(1.84319) 6 = -0.57817x4 = (1.84319) = 2.10932iterasi 4 :ambil x3 = 1.84319 dan x4 = 2.10932f(2.10932) = 4(2.10932)3 15(2.10932)2 + 17(2.10932) 6 = 0.65939x5 = (2.10932) = 1.96752iterasi 5 :ambil x4 = 2.10932 dan x5 = 1.96752f(1.96752) = 4(1.96752)3 15(1.96752)2 + 17(1.96752) 6 = -0.15303x6 = (1.96752) = 1.99423iterasi 6 :ambil x5 = 1.96752 dan x6 = 1.99423f(1.99423) = 4(1.99423)3 15(1.99423)2 + 17(1.99423) 6 = -0.02854x7 = (1.99423) = 2.00036iterasi 7 :ambil x6 = 1.99423 dan x7 = 2.00036f(2.00036) = 4(2.00036)3 15(2.00036)2 + 17(2.00036) 6 = 0.00178x8 = (2.00036) = 2.00000iterasi 8 :ambil x7 = 2.00036 dan x8 = 1.999996f(1.999996) = 4(1.999996)3 15(1.999996)2 + 17(1.999996) 6 = -0.0002x9 = (1.999996) = 2.0000iterasi 9 :ambil x8 = 1.999996 dan x9 = 2.00000f(2.00000) = 4(2.00000)3 15(2.00000)2 + 17(2.00000) 6 = 0.00000x10 = (2.00000) = 0.00000nxn-1xnxn+1f(xn-1)f(xn)f(xn+1)

123456789-131.81.843192.109321.967521.994232.000362.0000031.81.843192.109321.967521.994232.000362.000002.000001.81.843192.109321.967521.994232.000362.000002.000002.00000-4218-0.672-0.578170.65939-0.15303-0.028540.00178-0.0000218-0.672-0.578170.65939-0.15303-0.028540.00178-0.000020.00000-0.672-0.578170.65939-0.15303-0.028540.00178-0.000020.000000.00000

Jadi salah satu akar dari 4x3 15x2 + 17x 6 = 0 adalah 2