New posts in algebra-precalculus

Number of perfect squares less than N?

algebra-precalculus elementary-number-theory

Find real roots of the equation

algebra-precalculus functions roots radicals

Evaluating double sum $\sum_{k = 1}^\infty \left( \frac{(-1)^{k - 1}}{k} \sum_{n = 0}^\infty \frac{1}{k \cdot 2^n + 5}\right)$

calculus algebra-precalculus summation

The same bit of trivial algebra in two different places?

calculus geometry algebra-precalculus

Finding all solutions of an exponential equation

algebra-precalculus

Solving $\sqrt{7x-4}-\sqrt{7x-5}=\sqrt{4x-1}-\sqrt{4x-2}$

algebra-precalculus problem-solving roots factoring

Particle on vertex of a polygon moving towards adjacent particle.

integration algebra-precalculus geometry vectors classical-mechanics

What is the remainder when polynomial $f(x)$ is divided by $(x+1)(x-3)$ when $f(-1) = -4$ and $f(3) = 2$?

algebra-precalculus polynomials

Maximum of $a_1 \cdot a_2 \cdots a_n$ given $a_1 + \cdots + a_n = 1000$?

algebra-precalculus inequality problem-solving

Find $q$ such that $[q[qn]]+1=[q^2n]$ for $n=1,2,\dotsc$

algebra-precalculus number-theory elementary-number-theory ceiling-and-floor-functions golden-ratio

Integer reciprocals in arithmetic progression

sequences-and-series algebra-precalculus

Does adding to degree n polynomial terms with negative exponents still have n roots?

algebra-precalculus polynomials roots

How do you write $\sin(2x)$ in terms of $\tan x$?

algebra-precalculus trigonometry

Finding the roots of the unknown function

algebra-precalculus functions solution-verification quadratics

how can I solve the following equation (without complex numbers)?

algebra-precalculus radicals

Functions satisfying $f:\mathbb{N}\rightarrow\ \mathbb{N}$ and $f(f(n))+f(n+1)=n+2$

algebra-precalculus contest-math functional-equations

Prove that minimum of $\lambda \sin \theta + (1 - \lambda) \cos \theta \le -\frac1{\sqrt 2}$

algebra-precalculus trigonometry inequality maxima-minima

$P(z)=0$ iff $Q(z)=0$, $P(z)=1$ iff $Q(z)=1$. Prove that $P(x)=Q(x)$ for all $x$

algebra-precalculus polynomials

Prove that $4x^2-8xy+5y^2\geq0$ - is this a valid proof?

algebra-precalculus inequality proof-verification

prove that $2\sqrt5 +\sqrt{11}$ is irrational

algebra-precalculus proof-writing irrational-numbers rational-numbers