Welcome to our community

Be a part of something great, join today!

a²+b²-c²>6(c-a)(c-b)

  • Thread starter
  • Admin
  • #1

anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,842
Let $a,\,b$ and $c$ be positive real numbers such that $a^3+b^3=c^3$. Prove that $a^2+b^2-c^2>6(c-a)(c-b)$.