Newbetuts

Prove $\sum\limits_{i=1}^{n}\frac{a_{i}^{2}}{b_{i}} \geq \frac{(\sum\limits_{i=1}^{n}a_i)^2}{\sum\limits_{i=1}^{n}b_i}$

Need help with intro question about complex polynomials

Simple upper bound for $\binom{n}{k}$

Is there a way to analytically solve $x^\alpha + y^\alpha = \alpha(x + y)$ for $\alpha$, other than $\alpha = 1$?

When is $(a+b)^n \equiv a^n+b^n$?

Evaluating the infinite product $ \prod\limits_{n=1}^{\infty} \cos(\frac{y}{2^n}) $

Coefficients of a polynomial also are the roots of the polynomial?

How to compose two functions?

Reducibility of $x^3+nx+1$ over $ \Bbb Z$

Mechanics of Horizontal Stretching and Shrinking

What does the math notation $\sum$ mean?

In most geometry courses, we learn that there's no such thing as "SSA Congruence".

Christmas Cryptarithm: "HERES+MERRY+XMAS=READER"

When are we permitted to multiply or divide both sides of an equation by a variable?

Show that $\sqrt{1+n(n+1)(n+2)(n+3)}$ is a whole number for all whole numbers $n$.

How does one derive these solutions to the cubic equation?

Find coefficient of $x^{20}$

New posts in algebra-precalculus

Rationalizing a Denominator with Cube Roots

Condition on a,b and c satisfying an equation(TIFR GS 2017)

Not so easy optimization of variables?

Prove $\sum\limits_{i=1}^{n}\frac{a_{i}^{2}}{b_{i}} \geq \frac{(\sum\limits_{i=1}^{n}a_i)^2}{\sum\limits_{i=1}^{n}b_i}$

Need help with intro question about complex polynomials

Simple upper bound for $\binom{n}{k}$

Is there a way to analytically solve $x^\alpha + y^\alpha = \alpha(x + y)$ for $\alpha$, other than $\alpha = 1$?

When is $(a+b)^n \equiv a^n+b^n$?

Evaluating the infinite product $ \prod\limits_{n=1}^{\infty} \cos(\frac{y}{2^n}) $

Coefficients of a polynomial also are the roots of the polynomial?

How to compose two functions?

Reducibility of $x^3+nx+1$ over $ \Bbb Z$

Mechanics of Horizontal Stretching and Shrinking

What does the math notation $\sum$ mean?

In most geometry courses, we learn that there's no such thing as "SSA Congruence".

Christmas Cryptarithm: "HERES+MERRY+XMAS=READER"

When are we permitted to multiply or divide both sides of an equation by a variable?

Show that $\sqrt{1+n(n+1)(n+2)(n+3)}$ is a whole number for all whole numbers $n$.

How does one derive these solutions to the cubic equation?

Find coefficient of $x^{20}$