challenge for programmable calculators

[Thomas Klemm]

(12-25-2013 01:27 AM)Han Wrote:  Once you've solved a problem completely using mathematics, is there really any need for a program? I always held the opinion that programs were useful when we reached a mathematical stumbling block.

You'd still have to verify that the determinant \((1+a^2-9a)^2-4a(11a+1)\) is only positive for a = 1. So we're down at a loop of 7. Thus a program is still helpful.
Either that or you solve \((1+a^2-9a)^2-4a(11a+1)=0\) and figure that out by the roots.

Cheers
Thomas