Hello, can someone help me here? If a+b+c = 1 prove that a^2+b^2+c^2>1/3
H hotbanana New member Joined Mar 2, 2022 Messages 1 Mar 2, 2022 #1 Hello, can someone help me here? If a+b+c = 1 prove that a^2+b^2+c^2>1/3
D Deleted member 4993 Guest Mar 2, 2022 #2 hotbanana said: Hello, can someone help me here? If a+b+c = 1 prove that a^2+b^2+c^2>1/3 Click to expand... Have you tried to use the following relationship: a3 + b3 + c3 - 3 * a * b * c = (a + b + c) * (a2 + b2 + c2 - a * b - b * c - c * a) Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: READ BEFORE POSTING Please share your work/thoughts about this problem.
hotbanana said: Hello, can someone help me here? If a+b+c = 1 prove that a^2+b^2+c^2>1/3 Click to expand... Have you tried to use the following relationship: a3 + b3 + c3 - 3 * a * b * c = (a + b + c) * (a2 + b2 + c2 - a * b - b * c - c * a) Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: READ BEFORE POSTING Please share your work/thoughts about this problem.
