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# The key to simplifying monstrous equations

This problems leads to a huge equation,

4(a+b+c) +2(ab+bc+ac)+abc=1741

Can I get some help from you guys solving it.. I got lazy and solved it with Python, but that surely isn't the best way..

Note by Aasif Khan
3 years, 7 months ago

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apply Vieta's formula and form an equation whose roots are a,b and c....... · 3 years, 7 months ago

A problem can have more than 1 solution. There is a very pretty way of looking at it. Think about how to use the condition that $$a, b, c$$ are integers.

Note that your $$a, b, c$$ do not correspond to the $$a, b, c$$ in the question. Staff · 3 years, 7 months ago

then what to do cALVIN, can you give a hint,so that i CAN PROCEED...........and please check whether I am correct or not ................ · 3 years, 7 months ago

I know I might sound a bit, naive, but you're actually saying that solving this equation is pretty easy, all I need to do is find the right way to look at it!! · 3 years, 7 months ago

Hint: see if you can factorize $$4(p+q+r)+2(pq+qr+rp)+pqr+8$$. ;) · 3 years, 7 months ago