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  1. General formula for solving quartic (degree $4$) equations

    Jul 28, 2010 · Clearly the task at hand is to find the values of these constants. If we can convert (1) into (2) by determining quadratic factors that satisfies the equation, we can find the roots with the …

  2. How do I find the roots of a quartic, without guessing?

    So we need to solve a cubic with real roots whose roots can only be obtained in terms of cube roots of complex numbers, cube roots that can only be found "algebraically" by solving a casus irreducibilis …

  3. How to find the roots of a cubic polynomial?

    Feb 6, 2021 · All of the examples on the internet I could find are made so that you can somehow make the cubic equation into a first degree polynomial multiplied by a second degree polynomial. But what …

  4. How can I find the roots of a quadratic function?

    2 Bascially we are trying to find the roots of a quadratic equation, and 'apparently' there is a theorem for this, but every one that I have found so far mentions that the degree of the polynomial is directly …

  5. What is the purpose of finding roots? - Mathematics Stack Exchange

    Oct 29, 2015 · The purpose of finding roots is to find the range of a function this tells us the maximum and minimum value of a function and where on coordinate axis the graph meets.

  6. How to find the roots in a quadratic function in vertex form?

    Mar 7, 2020 · Can you specify exactly how to determine the roots using this method? The form that I have is f(x) = a(x-h)^2 + k, not equivalent to zero.

  7. How to find the roots of a higher degree polynomial?

    How would you find the roots of a function when: The function is a polynomial with a degree greater than 3 The polynomial is not factorable ? For example (let's just say): $2x^5-3x^3+13$ &nbsp...

  8. Quartic Equation Solution and Conditions for real roots?

    On more times, $|x_ {10}-root|<0.01$. Another method of counting real roots escartes beyond the rule and that is easy to see geometrically is to rank the extreme points of the equation with maximum, …

  9. abstract algebra - How can I find the roots of a quartic equation ...

    You know a second root. $1+2i$ multiply together the two linear factors with these roots and divide into your polynomial.

  10. polynomials - How to get the roots of a quartic function when given a ...

    Oct 21, 2013 · How to get the roots of a quartic function when given a quadratic factor Ask Question Asked 12 years ago Modified 8 years, 11 months ago