Problem 44344. The 5th Root

Solution 1344584

Submitted on 15 Nov 2017 by Jens Christiansen

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Test	Status	Code Input and Output
1	Pass	filetext = fileread('fifth_root.m'); assert(isempty(strfind(filetext, '^')),'^ forbidden') assert(isempty(strfind(filetext, 'power')),'power() forbidden') assert(isempty(strfind(filetext, 'mpower')),'mpower() forbidden') assert(isempty(strfind(filetext, 'realpow')),'realpow() forbidden') assert(isempty(strfind(filetext, 'nthroot')),'nthroot() forbidden') assert(isempty(strfind(filetext, 'roots')),'roots() forbidden')
2	Pass	n = 1/9765625; assert(abs(fifth_root(n)-1/25)<1e-5)
3	Pass	n = 1/5555; assert(abs(fifth_root(n)-0.178263811215444)<1e-5)
4	Pass	n = 1/3125; assert(abs(fifth_root(n)-1/5)<1e-5)
5	Pass	n = 1/125; assert(abs(fifth_root(n)-0.380730787743176)<1e-5)
6	Pass	n = 1/5; assert(abs(fifth_root(n)-0.724779663677696)<1e-5)
7	Pass	n = 1; assert(abs(fifth_root(n)-1)<1e-5)
8	Pass	n = 5; assert(abs(fifth_root(n)-1.37972966146121)<1e-5)
9	Pass	n = 25; assert(abs(fifth_root(n)-1.90365393871588)<1e-5)
10	Pass	n = 50; assert(abs(fifth_root(n)-2.18672414788656)<1e-5)
11	Pass	n = 500; assert(abs(fifth_root(n)-3.46572421577573)<1e-5)
12	Pass	n = 3125; assert(abs(fifth_root(n)-5)<1e-5)
13	Pass	n = 759375; assert(abs(fifth_root(n)-15)<1e-5)
14	Pass	n = 9765625; assert(abs(fifth_root(n)-25)<1e-5)
15	Pass	n = 312500000; assert(abs(fifth_root(n)-50)<1e-5)
16	Pass	n = 75937500000; assert(abs(fifth_root(n)-150)<1e-5)
17	Pass	n = 31250000000000; assert(abs(fifth_root(n)-500)<1e-5)
18	Pass	n = 52658067346875; assert(abs(fifth_root(n)-555)<1e-5)