Find the nature of the roots of the following quartic function:
72463
How to solve a quartic equation?
148983
If $a$, $b$, $c$ are the roots of $x^3-6x^2+3x+1=0$, find all possible values of $a^2b+b^2c+c^2a$
22058
Prove that $\cos(\pi/7)$ is root of equation $8x^3-4x^2-4x+1=0$
121373
Elementary Symmetric Polynomials, Roots of cubic polynomials
21155
Finding basis of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$ over $\mathbb{Q}$
82085
Without solving the equation, show that all nine roots of $(𝑧 − 1)^{10} = 𝑧^{10}$ lie on the line $Re (𝑧) = \frac{1}{2}$
45212
Integrals involving reciprocal square root of a quartic
114872
If $ax^2-bx+c=0$ has two distinct real roots lying in the interval $(0,1)$ $a,b,c$ belongs to natural prove that $\log_5 {abc}\geq2$
55197
Roots of $ x^3-3x+1$
84893
Solutions of the equations of the degree 5 and more
129855
How to find root of derivative of any polynomial/equation?
26189
How to find out how many roots of a polynomial is in each quadrant?
23726
A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
126981
Character of $2x_1^2 + 5x_2^2 + 5x_3^2 + 4x_1x_2 - 4x_1x_3 - 8x_2x_3 $
135178
Finding a quadratic equation from roots (Vieta's formula)
36400
Finding singularities of a complex function and the respective residues
59091
A quartic diophantine equation