New posts in Algebra Precalculus

Find the integer solutions to $4^x - 9^y = 55$

Let $a = \frac{1 + \sqrt{2009}}{2}$ . Find the value of $(a^3 - 503a - 500)^5$ .

Bounds on $S = \frac{1}{1001} + \frac{1}{1002}+ \frac{1}{1003}+\dots+\frac{1}{3001}$

Algebra problem (problem from Swedish 12th grade ‘Student Exam’ from 1932)

What's wrong with this proof of $3=0$ starting from $x^2+x+1=0$?

Solving $2\log_2 (\log_2 x) + \log_{1/2} (\log_2 x) = 1$

partial fractions when the fraction cannot be decomposed

How to read and execute $\sum_{1 \leq \ell <m<n} \frac{1}{5^{\ell}3^{m}2^{n}}$

How to integrate $\int \frac{\cos(x) + \sqrt 3}{1+ 4 \sin(x+\frac{\pi}{3}) + 4\sin^2(x+\frac{\pi}{3})}{\rm d}x$

Assuming the earth is a sphere, what is the shortest distance between 2 points through the earth?