#3 a and b =xtraor-ld be engendered by imaginary numbers. From this timeof their mystical character, although their full acceptancethe roots of the cubic xin the 1800s.136r2= 20x + 56.(c)3(d) x64 6x2+ 24x.2. Derive Cardan's formulap'3+27q2V 43q3qV 42227for solving the cubic equation x3p>O and q> 0.= px +q, where123. Using Cardan's formula, obtain one root of each of the++ Cardan's Ars Magnafollowing cubic equations.HIB(a) x3+24x 16.(b) x315x6x218(c) x327(d) x39x 12.6x2+15x +83x2+27x+ 41.AN6x2+58..AR(e) x3 =(f) x3=4. Solve the cubic equation x+6x2+x =14.Problems 5-11 appear in Cardan's Ars Magna.5. Chapter 5, Problem 2. There were two leaders, eachwhom divided 48 aurei among his soldiers. One ofthese had two more soldiers than the other. The onewho had two soldiers fewer had four aurei more foreach soldier. Find how many soldiers each had.6.Chapter 37, Problem 1. The dowry of Francis's wife100more than Francis's own property is worthquare of the douaureiand thethan the100noreSS

Name: #3 a and b =xtraor-ld be engendered by imaginary numbers. From this ti
Uploaded: 2024-03-20T06:46:03.000Z
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Description: #3 a and b =xtraor-ld be engendered by imaginary numbers. From this timeof their mystical character, although their full acceptancethe roots of the cubic xin the 1800s.136r2= 20x + 56.(c)3(d) x64 6x2+ 24x.2. Derive Cardan's formulap'3+27q2V 43q3qV 42