Find the number of distinct real roots of $(x-a)^3+(x-b)^3+(x-c)^3=0$
141093
How many real roots does $(x-a)^3+(x-b)^3+(x-c)^3$ have?
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
76046
Finding the roots of the unknown function
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
26081
What will be total number of solutions of $a+b+c = n$?
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
96859
Find the number of zeroes of $p(z)=z^6+z^3+10z^2+4z+3$ inside the annulus $1<|z|<2$
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
26189
How to find out how many roots of a polynomial is in each quadrant?
106374
Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
63689
proving roots of equation $x^2+x+4f=0$ are real.
79638
Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
85383
No. Of real roots of an equation
73478
Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.
60041
Number of real roots of $3^x+4^x=2^x+5^x$ with proof
47949
If $a$ and $b$ are two roots of $x^4 + x^3 - 1 = 0$ prove that $ab$ is a root of $x^6 + x^4 + x^3 - x^2 - 1$.