MATH
Login Or Sign up

List Question

15
75
Views

Prove $\sum_{\mathrm{cyc}} (\frac{a^2}{3bc}+\frac{a(b+c)}{b^2+c^2})\ge 4$

Published on
#inequality #symmetric-polynomials #cauchy-schwarz-inequality #sum-of-squares-method
257
Views

Inequality in a Polynomial

Published on
#inequality #polynomials #roots #cubics #symmetric-polynomials
87
Views

How to prove this inequality for $a,b,c>0$?

Published on
#inequality #symmetric-polynomials #sum-of-squares-method #rearrangement-inequality
155
Views

Find the maximum value of $x^3 + y^3 + z^3$ where $x, y, z \in [0, 2]$ and $x + y + z = 3$.

Published on
#inequality #symmetric-polynomials #convexity-inequality #karamata-inequality
695
Views

Decomposing a symmetric function into elementary symmetric polynomials.

Published on
#permutations #symmetric-polynomials #elementary-functions #symmetric-functions #permutation-cycles
134
Views

Linear quadratic cubic system of equation

Published on
#systems-of-equations #roots #cubics #symmetric-polynomials
191
Views

Prove that $abc(a^2+b^2+c^2-2abc-2a-2b-2c)+ab(a+b-2)+bc(b+c-2)+ca(c+a-2)+a+b+c \le 2$

Published on
#algebra-precalculus #inequality #real-numbers #substitution #symmetric-polynomials
209
Views

Calculate the maximum value of $|ab(a^2 - b^2) + bc(b^2 - c^2) + ca(c^2 - a^2)|$ where $a^2 + b^2 + c^2 = 1$.

Published on
#inequality #contest-math #substitution #symmetric-polynomials #uvw
209
Views

$x_1^3+3x_2+3x_3$ in terms of the roots $x_1$, $x_2$, $x_3$ of $x^3−3x−15=0$

Published on
#algebra-precalculus #polynomials #roots #symmetric-polynomials
87
Views

Tricky simultaneous Equations

Published on
#systems-of-equations #quadratics #symmetric-polynomials
327
Views

Prove $a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)$ using factorization of symmetric polynomials

Published on
#factoring #symmetric-polynomials
442
Views

Find the value of abc

Published on
#systems-of-equations #symmetric-polynomials
139
Views

Solve $x^{3} = 6+ 3xy - 3 ( \sqrt{2}+2 )^{{1}/{3}} , y^{3} = 9 + 3xy(\sqrt{2}+2)^{{1}/{3}} - 3(\sqrt{2}+2)^{{2}/{3}}$

Published on
#systems-of-equations #cubics #symmetric-polynomials
89
Views

Can anyone help me in determining the value of a,b and c?

Published on
#systems-of-equations #diophantine-equations #symmetric-polynomials
87
Views

Finding number of real roots

Published on
#linear-algebra #polynomials #quadratic-forms #symmetric-polynomials

Trending Questions

Popular # Hahtags

second-order-logic numerical-methods puzzle logic probability number-theory winding-number real-analysis integration calculus complex-analysis sequences-and-series proof-writing set-theory functions homotopy-theory elementary-number-theory ordinary-differential-equations circles derivatives game-theory definite-integrals elementary-set-theory limits multivariable-calculus geometry algebraic-number-theory proof-verification partial-derivative algebra-precalculus

Popular Questions

Copyright © 2021 JogjaFile Inc.