An Alternative Approach to Solving Cubic and Quartic Polynomial Equations
نویسندگان
چکیده
Aims: The aim of the research study was to develop a more direct and intuitive approach for solution polynomial equations degree 3 four.
 Study Design: employed equivalent substitution that is formulate than traditional formulations one easily solvable.
 Place Duration Study: has been undertaken by author at university Eswatini in period from February March 2021.
 Methodology: Two alternative procedures have presented analytical cubic quartic demonstrated with worked examples. derived through procedure without involving intermediate variable substitution.
 Results: For equations, provides explicit expression an formed directly terms original x. As such, formula simple derive or understand as well apply. same decomposition form used equation using two quadratic polynomials symmetric thus making it easy solve equations
 Conclusion: basis understanding solving equations.
منابع مشابه
Solution of Cubic and Quartic Equations
In this paper a, b are complex numbers. The following propositions are true: (1) a · a = a2. (2) a · a · a = a3. (3) a · a · a · a = a4. (4) (a− b) = (a2 − 2 · a · b) + b2. (5) (a− b) = ((a3 − 3 · a2 · b) + 3 · b2 · a)− b3. (6) (a− b) = (((a4 − 4 · a3 · b) + 6 · a2 · b2)− 4 · b3 · a) + b4. Let n be a natural number and let r be a real number. We introduce r1/n as a synonym of n √ r. Let n be a ...
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ژورنال
عنوان ژورنال: Journal of advances in mathematics and computer science
سال: 2021
ISSN: ['2456-9968']
DOI: https://doi.org/10.9734/jamcs/2021/v36i230338