Prove that the equation has at most 2 solutions
117352
Show $x^n+ax+b=0$ has most two solutions
134736
Prove using Rolle's Theorem that an equation has exactly one real solution.
15730
Determine the minimum of $a^2 + b^2$ if $a,b\in\mathbb{R}$ are such that $x^4 + ax^3 + bx^2 + ax + 1 = 0$ has at least one real solution
16946
How many solutions for an equation with simple restrictions
124505
Proof that there must exist infinitely many solutions to a homogeneous system of equations when more unknowns than equations
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.
101776
Bounded solution for an equation
51153
Number of solutions to $x^2\equiv a\pmod m$
91684
Prove the following equation(much needed help):
82137
Given a, b How many solutions exists for x, such that: $a \bmod{x}=b $
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
14773
Finding distinct solutions for the equation
151732
Number of solutions of polynomials in a field
156669
Trying to prove a simple (?) inequality
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
51019
Polynomial problem with two conditions
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations