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What can be a real world application for solving quartic equations?

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#polynomials #roots #problem-solving #applications #quartics
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Family of quartics given the only two roots and an extremum

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#roots #quartics
61
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How to find the area between quartic functions?

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#integration #area #quartics
192
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Galois group of $x^4+7x+7$

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#group-theory #galois-theory #quartics
180
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Use resolvent (or anything else) to find Galois group of quartic equations

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#reference-request #galois-theory #extension-field #book-recommendation #quartics
406
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Is it always possible to solve a quartic equation with real coefficients without operating with complex numbers?

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#complex-numbers #quartics
468
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How to determine number of roots and what type for quartic equations?

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#polynomials #roots #quartics
58
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Should I put any coefficient in front of $x^4$, or does it matter?

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#polynomials #roots #quartics
94
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a quartic polynomial in one variable

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#polynomials #quartics
241
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Expansion of the quartic of the sum of $N$ numbers

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#polynomials #summation #quartics
137
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Number of real solution of Trigonometric Equation

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#trigonometry #polynomials #quartics
1.2k
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Muller's method's initial approximations for non-real roots

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#complex-numbers #numerical-methods #roots #approximation #quartics
177
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Prove that this field is a splitting field

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#abstract-algebra #factoring #splitting-field #quartics
87
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Find all positive integers x such that $x^4-8x+16$ is a full square

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#polynomials #square-numbers #quartics
56
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solve the equation $ax^2-\sqrt(x)b-c=0$

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#polynomials #systems-of-equations #quartics

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