Nevíte-li si rady s jakýmkoliv matematickým problémem, toto místo je pro vás jako dělané.
Nejste přihlášen(a). Přihlásit
Your problem spells in way equivalent
A trivial solution is
(Triangle ABC is equilateral)
And for example WA confirms that it is the unique solution.
I don't understand the argumentation of the kind you used above: "And for example WA confirms...".
In my opinion, the solutions in the section "Zajímavé úlohy z ..." should always be complete. (But may be, I'm wrong.)
Yes, it is a question since was published the demonstration of 4 colors which was made by means of a computer.
Here also, I contented myself with answer by software of calculation.
Here, the situation is relatively simple. For a, b authorized I formed an equation of second degree in c, and I verified that such an equation does not admit other solutions that that already mentioned.
But I am not a robot to write kilometric formulae and if somebody want to do it I shall leave with him this pleasure.