New posts in algebra-precalculus

Mental $n-$th root of $N$

An odd (potential) primality test

Describe the locus in the complex plane of the zeros of a quartic polynomial as the constant term varies

Given $n! = c$, how to find $n$?

determining the maximum of a rational function

How does $2^{12} \times 3^{12} \times 4^6 \times 8^4 \times 9^6 \times 27^4$ become $6^{36}$?

Identity in Ramanujan style

How to define the inverse of a vector?

In which order do I graph transformations of functions?

Factorize : $P(x)=x^6+x^2+1$

Notation: What is the scope of a sum?

If $a+b+c=1$, find the minimum of $\frac{4+3abc}{ab+bc+ac}$

Reducibility of $x^{2n} + x^{2n-2} + \cdots + x^{2} + 1$

How to expand $a^n + b^n$ for all positive exponents?

Number of ways to arrange objects in a circle, some of which may be identical

$\sum\limits_{i=1}^n \frac{x_i}{\sqrt[n]{x_i^n+(n^n-1)\prod \limits_{j=1}^nx_j}} \ge 1$, for all $x_i>0.$

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

What is a sufficient condition such that the graph of $f(\theta)$ in polar coordinates is symmetric relative to the $y$ axis?

Is there formula to easily factorize $7+4 \sqrt{3}$ to $(2+ \sqrt{3} )^2$? [duplicate]

Integrate: $\frac{x^2+x-1}{x^2-1}$ with respect to $x$