New posts in algebra-precalculus

Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$

Write the expressoin in terms of $\log x$ and $\log y \log(\frac{x^3}{10y})$

Can congruence or similarity be used to find the length of a triangle when some of its sides have odds proportionality?

Is there an algorithm to compute the degree of a polynomial?

How to prove that $\sum\limits_{i=0}^p (-1)^{p-i} {p \choose i} i^j$ is $0$ for $j < p$ and $p!$ for $j = p$

How to compare logarithms $\log_4 5$ and $\log_5 6$?

How to prove $\sum_{i=1}^n \frac{a_i b_i}{a_i+b_i} \sum^n_{i=1} (a_i+b_i) \le (\sum_{i=1}^n a_i)(\sum_{i=1}^n b_i) ,a_i>0,b_i>0$?

best books for learning algebra

$\sum_{k=0}^\infty \left[ \frac{n+2^k}{2^{k+1}} \right] = ?$ (IMO 1968)

Show $\max{\{a,b\}}=\frac1{2}(a+b+|a-b|)$

Prove that all roots of $\sum_{r=1}^{70} \frac{1}{x-r} =\frac{5}{4} $ are real

Subtracting expressions with radicals

Where is the mistake in my reasoning?

Simplify $\dfrac{\sqrt{m+x}+\sqrt{m-x}}{\sqrt{m+x}-\sqrt{m-x}}$

Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$ [closed]

What is $(26+15(3)^{1/2})^{1/3}+(26-15(3)^{1/2})^{1/3}$?

How can you find the cubed roots of $i$?

What exactly do systems of equations represent?

Why do these "equal" logarithms give different answers

Can the quadratic formula be used with variable coefficients? [closed]