Question

Nature of roots

Answer 1

If the roots of the equation
\[\huge \frac{ 1 }{ (x+p) } + \frac{ 1 }{ (x+q) } = \frac{ 1 }{ r }\]
are equal in Magnitude but opposite in sign , show that :-
p+q = 2r and the product of the roots is equal to (-1/2)(p^2 + q^2)