a^3+3a^2=3a^2+3b^2+3c^2-25
b^3+3b^2=3a^2+3b^2+3c^2-25
c^3+3c^2=3a^2+3b^2+3c^2-25
what is abc?

Question

a^3+3a^2=3a^2+3b^2+3c^2-25
b^3+3b^2=3a^2+3b^2+3c^2-25
c^3+3c^2=3a^2+3b^2+3c^2-25
what is abc?

geerky42 · Answer

I think I saw this problem on Brilliant.org

anonymous · Answer

oh really?

geerky42 · Answer

Yeah... look so familiar...

anonymous · Answer

how can i find a+b+c?

anonymous · Answer

it's only that i am having problem with

geerky42 · Answer

geerky42 · Answer

Just clear things up...
$$ \Large a^3+3a^2=3a^2+3b^2+3c^2-25 \
\Large b^3+3b^2=3a^2+3b^2+3c^2-25 \
\Large c^3+3c^2=3a^2+3b^2+3c^2-25$$

anonymous · Answer

yeah

anonymous · Answer

$$a +b +c =-3$$
and I don't get why

geerky42 · Answer

oh you don't need to find abc?

anonymous · Answer

well i do need that but i have the solution to this problem and this is the only part that i don't understand

geerky42 · Answer

@mathslover @e.mccormick @ganeshie8 @ParthKohli Can you help?

anonymous · Answer

can you guys plz help?

anonymous · Answer

i dont really know. @hoblos @e.mccormick @whpalmer4 can you help him?

mathslover · Answer

Well, I am trying to find ... Please give me some time.