Thread: reciprocal sum

Find the number of solutions to the equation (1/a)+(1/b)+(1/c)+(1/d)=1 .

Originally Posted by geniusgarvil

Find the number of solutions to the equation (1/a)+(1/b)+(1/c)+(1/d)=1 .

are you sure the question is right? or some part is missing?...
if its correct, I think there can be an infinite number of solutions or quadruples (a,b,c,d) satisfying the equation.