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New posts in algebra-precalculus
Sum of roots of a functional equation
algebra-precalculus
functions
functional-equations
How to solve a quartic equation?
algebra-precalculus
quartics
Prove $3^n = \sum_{k=0}^n \binom {n} {k} 2^k$
combinatorics
algebra-precalculus
summation
binomial-coefficients
How to interpret 2 variables separated by a comma in chained inequalities
algebra-precalculus
inequality
notation
Assuming the existence of solutions in solving exercises
algebra-precalculus
limits
How many solutions for this equation?
algebra-precalculus
polynomials
solution-verification
How to solve these $3$ equations for three unknowns $x$,$y$,$z$? [duplicate]
algebra-precalculus
contest-math
systems-of-equations
epsilon Delta approach in Proving $\lim_{x \to 8} \sqrt[3]x=2$
algebra-precalculus
limits
derivatives
How to prove $(6666\ldots66)^2 + 8888\ldots88 = 4444\ldots44$ (with $n$ 6s and 8s, $2n$ 4s)
algebra-precalculus
If $x+y+z=xyz$, prove $\frac{2x}{1-x^2}+\frac{2y}{1-y^2}+\frac{2z}{1-z^2}=\frac{2x}{1-x^2}\times\frac{2y}{1-y^2}\times\frac{2z}{1-z^2}$ [duplicate]
algebra-precalculus
trigonometry
summation
problem-solving
alternative-proof
An incorrect method to sum the first $n$ squares which nevertheless works
algebra-precalculus
If $x$ and $y$ are rational numbers and $x^5+y^5=2x^2y^2,$ then $1-xy$ is a perfect square.
algebra-precalculus
polynomials
a circle graph is not a function?
algebra-precalculus
circles
Function that looks a lot like exponential, but isn't
algebra-precalculus
exponential-function
Is a function periodic $f(x) = \cos (x) +\cos(x^2)$
algebra-precalculus
trigonometry
$\dfrac{pq}{r}+\dfrac{qr}{p}+\dfrac{pr}{q}\in\Bbb Z\,\Rightarrow\, \dfrac{pq}{r},\dfrac{qr}{p},\dfrac{pr}{q}\in\Bbb Z$
algebra-precalculus
elementary-number-theory
Solve the equation: $x=\sqrt{a-\sqrt{a+x}},(a\geq 1)$
algebra-precalculus
Average of age in a family
algebra-precalculus
average
Is it possible to shorten the solution for this 2014 RMO question?
algebra-precalculus
proof-verification
contest-math
alternative-proof
Why does two terms immediately adjacent "mean" multiply?
algebra-precalculus
notation
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