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15
Math.TechQA.Club
2018-01-05 18:11:32
348
Views
Solving equation with change of variable
Published on
05 Jan 2018 - 18:11
#polynomials
#factoring
#substitution
#change-of-variable
#quartics
70
Views
irreducibility of integer polynomials over $\mathbb{Q}$
Published on
09 Jan 2018 - 23:06
#field-theory
#irreducible-polynomials
#quartics
892
Views
Describe the locus in the complex plane of the zeros of a quartic polynomial as the constant term varies
Published on
23 Jul 2010 - 3:59
#algebra-precalculus
#polynomials
#roots
#quartics
356.9k
Views
Is there a general formula for solving Quartic (Degree $4$) equations?
Published on
27 Jul 2010 - 18:31
#algebra-precalculus
#polynomials
#quartics
7.1k
Views
"Standard" ways of telling if an irreducible quartic polynomial has Galois group $C_4$?
Published on
11 May 2011 - 14:12
#galois-theory
#quartics
535
Views
Necessary and sufficient condition for the coefficients of a quartic
Published on
17 Jun 2011 - 23:42
#algebra-precalculus
#polynomials
#quartics
66.7k
Views
Solving $x^4 - 10x^3 + 21x^2 + 40x - 100 = 0$
Published on
30 Jan 2012 - 18:47
#algebra-precalculus
#quartics
72
Views
Alternative approaches to search of negative roots of the equation $x^4-5x^3-4x^2-7x+4=0$?
Published on
29 Jan 2013 - 19:38
#algebra-precalculus
#polynomials
#roots
#alternative-proof
#quartics
2.9k
Views
How do I completely solve the equation $z^4 - 2z^3 + 9z^2 - 14z + 14 = 0$ where there is a root with the real part of $1$.
Published on
24 Feb 2013 - 11:23
#algebra-precalculus
#complex-numbers
#roots
#quartics
228
Views
Help with particular solution to solving $z^4 - 2z^3 + 9z^2 - 14z + 14 = 0$.
Published on
25 Feb 2013 - 12:32
#algebra-precalculus
#solution-verification
#complex-numbers
#roots
#quartics
2.9k
Views
condition for roots of quartic equation to be purely imaginary
Published on
27 Feb 2013 - 15:14
#algebra-precalculus
#solution-verification
#complex-numbers
#roots
#quartics
1.5k
Views
Let $x_1,x_2,x_3,x_4$ denote the four roots of the equation $x^4 + kx^2 + 90x - 2009 = 0$. If $x_1x_2 = 49$, then find the value of $k$.
Published on
07 Aug 2020 - 13:44
#algebra-precalculus
#polynomials
#systems-of-equations
#symmetric-polynomials
#quartics
653
Views
How can I prove that $p(x)=x^4+x+1$ doesn't have real roots?
Published on
11 Aug 2020 - 1:10
#calculus
#algebra-precalculus
#polynomials
#roots
#quartics
121
Views
What is the meaning of "due to the symmetry of the coefficients, if $x=r$ is a zero of $x^4+x^3+x^2+x+1$ then $x=\frac1r$ is also a zero"
Published on
16 Aug 2020 - 10:45
#polynomials
#factoring
#symmetry
#quartics
1k
Views
How can I resolve this equation: $z^4 + 2z^3 + 7z^2 − 18z + 26 = 0$, where there is a root that it's $1+ i$
Published on
19 Aug 2020 - 12:08
#polynomials
#complex-numbers
#roots
#factoring
#quartics
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