The document contains results from applying different root finding algorithms - bisection, false position, secant, Newton-Raphson, and fixed point - to find the root of a function. It shows the iterations, estimates for the root at each iteration and the error compared to the previous iteration. The algorithms converge to a root near 0.42630275 after several iterations, with the error decreasing significantly in each successive step.

1. f(Xi)*f(Xs)=-100BiseccionIteracionesXiXrXsf(Xi)f(Xr)f(Xi)*f(Xr)Error10501001-50-5002025501-25-251003012,5251-12,5-12,5100406,2512,51-6,24999627-6,24999627100503,1256,251-3,12306955-3,12306955100601,56253,1251-1,51856307-1,51856307100700,781251,56251-0,57163861-0,57163861100800,3906250,7812510,067208360,0672083610090,3906250,58593750,781250,06720836-0,27615195-0,0185597233,3333333100,3906250,488281250,58593750,06720836-0,1116778-0,0075056820110,3906250,4394531250,488281250,06720836-0,0242163-0,0016275411,1111111120,3906250,4150390630,439453130,067208360,020976160,001409775,88235294130,4150390630,4272460940,439453130,02097616-0,00174688-3,6643E-052,85714286140,4150390630,4211425780,427246090,020976160,009582550,0002011,44927536150,4211425780,4241943360,427246090,009582550,003909863,7466E-050,71942446<br />Falsa Posicionf(Xi)*f(Xs)=IteracionesXiXrXsf(Xi)f(Xr)f(Xs)f(Xi)*f(Xr)Error100,990099011001-0,85205711-100-0,852057110200,5345942110,990099011-0,1913072-0,85205711-0,191307285,205711300,448745890,534594211-0,04115518-0,1913072-0,0411551819,1307203400,4310076890,448745891-0,00869758-0,04115518-0,008697584,11551845500,4272912890,431007691-0,00183054-0,00869758-0,001830540,86975798600,4265105450,427291291-0,00038492-0,00183054-0,000384920,18305385700,4263464340,426510551-8,0926E-05-0,00038492-8,0926E-050,03849237800,4263119340,426346431-1,7013E-05-8,0926E-05-1,7013E-050,00809262900,4263046820,426311931-3,5767E-06-1,7013E-05-3,5767E-060,001701321000,4263031570,426304681-7,5192E-07-3,5767E-06-7,5192E-070,000357671100,4263028360,426303161-1,5808E-07-7,5192E-07-1,5808E-077,5192E-051200,4263027690,426302841-3,3232E-08-1,5808E-07-3,3232E-081,5808E-051300,4263027550,426302771-6,9864E-09-3,3232E-08-6,9864E-093,3232E-061400,4263027520,426302751-1,4687E-09-6,9864E-09-1,4687E-096,9864E-071500,4263027510,426302751-3,0877E-10-1,4687E-09-3,0877E-101,4687E-07<br />SecanteIteracionXif(Xi)f(Xi-1)Xi+1Error0110-1101100-100-11000201-1000,99009901#¡DIV/0!30,99009901-0,8520571110,5345942110040,534594211-0,1913072-0,852057110,4027117185,20571150,4027117120,044186946-0,19130720,4274574932,748612660,427457486-0,002138130,044186950,426315355,7890607370,426315346-2,3333E-05-0,002138130,426302740,2679097180,4263027441,23969E-08-2,3333E-050,426302750,0029559690,426302751-7,1942E-141,2397E-080,426302751,5697E-06<br />Newton RaphsonIteracionXif(Xi)f'(Xi)Xi+1Error1100-100-100201-30,33333333#¡DIV/0!30,333333330,180083786-2,026834240,4221831210040,422183120,007646564-1,859659360,4262949321,045319250,426294931,44945E-05-1,852618840,426302750,9645456460,426302755,21899E-11-1,85260550,426302750,0018352670,426302750-1,85260550,426302756,6082E-0980,426302750-1,85260550,42630275090,426302750-1,85260550,426302750100,426302750-1,85260550,426302750<br />Punto FijoIteracionXif(x)Error11001,3839E-87021,3839E-8717,226E+90310,13533528310040,1353352830,762867769638,9056150,7628677690,21746104782,259666960,2174610470,647315095250,80662970,6473150950,27399917366,405688880,2739991730,57810582136,24709890,578105820,31467603152,603976100,3146760310,53293699983,7146025110,5329369990,34442669540,9543657120,3444266950,50215151154,7316182130,5021515110,36629984931,4098061140,3662998490,48065779937,0875562150,4806577990,38238948423,7919682160,3823894840,46543679625,6984881170,4654367960,39420918217,8428765180,3942091820,45456318118,0684819190,4545631810,40287603813,277362200,4028760380,44675180912,82954210,4467518090,409219499,82106159220,409219490,4411197149,1716841230,4411197140,4138550747,2316479240,4138550740,4370489186,58796803250,4370489180,4172382675,30692176260,4172382670,434101664,74804282270,434101660,4197049483,8846644280,4197049480,4319653533,43019816290,4319653530,4215020222,83828423300,4215020220,4304155922,48239164310,4304155920,4228105032,07092188320,4228105030,4292906841,79869933330,4292906840,423762821,50950888340,423762820,428473821,30447115350,428473820,4244556991,09948375360,4244556990,427880470,94665268<br />