Question

If x, y, z, p, q, r are distinct real numbers such that

1/(x+p) + 1/(y+p) + 1/(z+p) = 1/p

1/(x+q) + 1/(y+q) + 1/(z+q) = 1/q

1/(x+r) + 1/(y+r) + 1/(z+r) = 1/r

find the numerical value of (1/p + 1/q + 1/r).

Answer 1

Solving equation we get coefficient of t2 = 0.