Newbetuts

Numbers from $1,\frac12,\frac13,...........\frac{1}{2010}$ are written and any two $x,y$ are taken and we replace $x,y$ by just $x+y+xy$

Evaluating $\sqrt{7\sqrt{7\sqrt{7\sqrt{7\,\cdots}}}}$. How can we know $0$ is an extraneous solution? [duplicate]

Sets of integers in which every element is the sum of two others

Solve $x^7-5x^4-x^3+4x+1=0$ for $x$

Find the real roots for $\displaystyle \sqrt[4]{386-x}+\sqrt[4]{x}=6.$

How did they get this equation comparing three ratios?

Do holes affect the type of function (even, odd or neither)

How to solve $x^4-2x^3-x^2+2x+1=0$?

Prove that $\sum\limits_{k=1}^n \frac{1}{k^2+3k+1}$ is bounded above by $\frac{13}{20}$

How to use $x + \frac{1}{x} = 7$ to compute $x^2 + \frac{1}{x^2}$.

Show that $2Q(x)$ can be written as the sum of three perfect squares

The sum of infinitely many $c$s is $c$ implies $c = 0$.

Sum of cube roots of a quadratic

Maximum value of $x+2 x y+4 x y z$

If $ 5x+12y=60$ , what is the minimum of $\sqrt{x^2+y^2}$?

prove that $\frac{1-e^{-x^2}}{x}\le 2\sqrt{2} , \ x>0$,

New posts in algebra-precalculus

Show that $2^n>1+n\sqrt{2^{n-1}}$

function identity: does $\frac{x^2-4}{x-2} = x+2$

Sum of series : $1+11+111+...$

Why does the plot of $f(x)=|\cos x|-|\sin x|$ look almost piecewise linear?

Numbers from $1,\frac12,\frac13,...........\frac{1}{2010}$ are written and any two $x,y$ are taken and we replace $x,y$ by just $x+y+xy$

Evaluating $\sqrt{7\sqrt{7\sqrt{7\sqrt{7\,\cdots}}}}$. How can we know $0$ is an extraneous solution? [duplicate]

Sets of integers in which every element is the sum of two others

Solve $x^7-5x^4-x^3+4x+1=0$ for $x$

Find the real roots for $\displaystyle \sqrt[4]{386-x}+\sqrt[4]{x}=6.$

How did they get this equation comparing three ratios?

Do holes affect the type of function (even, odd or neither)

How to solve $x^4-2x^3-x^2+2x+1=0$?

Prove that $\sum\limits_{k=1}^n \frac{1}{k^2+3k+1}$ is bounded above by $\frac{13}{20}$

How to use $x + \frac{1}{x} = 7$ to compute $x^2 + \frac{1}{x^2}$.

Show that $2Q(x)$ can be written as the sum of three perfect squares

The sum of infinitely many $c$s is $c$ implies $c = 0$.

Sum of cube roots of a quadratic

Maximum value of $x+2 x y+4 x y z$

If $ 5x+12y=60$ , what is the minimum of $\sqrt{x^2+y^2}$?

prove that $\frac{1-e^{-x^2}}{x}\le 2\sqrt{2} , \ x>0$,