I found this problem online ( from a Finnish website) but can't find a solution, I am stuck now, having only found one value by inspection? Which i can share but i dont want to lead.
I feel there must be a simpler way of doing this than the obvious, i.e. generating a quartic etc.
Solve
8/(x-8)+10/(x-6)+12/(x-4)+14/(x-2)=4
The symmetry in the values suggests something but I can't see anything else. Any other suggestions? No need to solve it. Just ideas would be great
I feel there must be a simpler way of doing this than the obvious, i.e. generating a quartic etc.
Solve
8/(x-8)+10/(x-6)+12/(x-4)+14/(x-2)=4
The symmetry in the values suggests something but I can't see anything else. Any other suggestions? No need to solve it. Just ideas would be great