New posts in algebra-precalculus

Find all functions on the non-zero reals to itself satisfying $f(xy)=f(x+y)(f(x)+f(y))$

Number of Unique Sequences with Circular Shifts

Combinatorics - Painting the Unit Squares of a 3x3 Square

Proving Quadratic Formula

A prime number wall pool table

How are inequalities from IMO built?

let $f(\frac{x}{3})+f(\frac{2}{x})=\frac{4}{x^2}+\frac{x^2}{9}-2$ then find $f(x)$

How to solve equations of this form: $x^x = n$?

A fun Valentine's day chocolate box optimization problem...

Solving a radical equation for real $x$

Find the value of $ab+ 2cb+\sqrt3 ac$?

How to prove $f(n)=\sum_{k=0}^n\binom{n+k}{k}\left(\frac{1}{2}\right)^k=2^n$ without using the induction method? [duplicate]

Total number of divisors of factorial of a number

how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$ [duplicate]

Can you write a non-piecewise equation that describes an arbitrary shape?

real values of $x$ in $\sqrt{5-x} = 5-x^2$.

Profit, Loss Dishonest seller

For positive real numbers $a,b,c$ such that $a+b+c=1$. Prove that...

How many natural number between $100$ and $1000$ exist which can be expressed as sum of 10 different primes.

How to find the inverse of $f(x)=x+ \frac{x^{3}}{1+x^{2}}$?