Newbetuts

Find all $f: \mathbb{R} \to \mathbb{R}$ such that $(f(x)+y)(f(x-y)+1)=f(f(xf(x+1))-yf(y-1)), \forall x,y \in \mathbb{R}$

Solving $|x-2| + |x-5|=3$ [duplicate]

How to factor the polynomial $x^4-x^2 + 1$

Is it possible to find $n-1$ consecutive composite integers

Are there any two real nonzero numbers $a$ and $b$ such that $a^2+ab+b^2 = 0$ Why or why not?

Are Base Ten Logarithms Relics?

Write $\sqrt{\dfrac{a}{5b}}$ without denominator under the radical sign

Sum of cube roots of complex conjugates

Showing that the sequence $a_{n+3}=5a^6_{n+2}+3a^3_{n+1}+a^2_n$, with $a_1=2019$, $a_2=2020$, $a_3=2021$, contains no numbers of the form $m^6$

Algebric proof for the identity $n(n-1)2^{n-2}=\sum_{k=1}^n {k(k-1) {n \choose k}}$

Proof of the power rule for logarithms

How do I evaluate $\prod_{r=1}^{\infty }\left (1-\frac{1}{\sqrt {r+1}}\right)$?

Sequence is periodic $x_{n+2}=|x_{n+1}-x_{n-1}|$

Can $n(n+1)2^{n-2} = \sum_{i=1}^{n} i^2 \binom{n}{i}$ be derived from the binomial theorem?

New posts in algebra-precalculus

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Find the all possible real solutions of $x^y=y^x$ [duplicate]

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Finding maxima of a function $f(x) = \sqrt{x} - 2x^2$ without calculus

Finding all solutions to the equation $|||||x|-1|-1|-1|-1|=0$

Solving the equation $\{x\}+\{\frac{1}{x} \}=1$

Find all $f: \mathbb{R} \to \mathbb{R}$ such that $(f(x)+y)(f(x-y)+1)=f(f(xf(x+1))-yf(y-1)), \forall x,y \in \mathbb{R}$

Solving $|x-2| + |x-5|=3$ [duplicate]

How to factor the polynomial $x^4-x^2 + 1$

Is it possible to find $n-1$ consecutive composite integers

Are there any two real nonzero numbers $a$ and $b$ such that $a^2+ab+b^2 = 0$ Why or why not?

Are Base Ten Logarithms Relics?

Write $\sqrt{\dfrac{a}{5b}}$ without denominator under the radical sign

Sum of cube roots of complex conjugates

Showing that the sequence $a_{n+3}=5a^6_{n+2}+3a^3_{n+1}+a^2_n$, with $a_1=2019$, $a_2=2020$, $a_3=2021$, contains no numbers of the form $m^6$

Algebric proof for the identity $n(n-1)2^{n-2}=\sum_{k=1}^n {k(k-1) {n \choose k}}$

Proof of the power rule for logarithms

How do I evaluate $\prod_{r=1}^{\infty }\left (1-\frac{1}{\sqrt {r+1}}\right)$?

Sequence is periodic $x_{n+2}=|x_{n+1}-x_{n-1}|$

Can $n(n+1)2^{n-2} = \sum_{i=1}^{n} i^2 \binom{n}{i}$ be derived from the binomial theorem?