Because the equation has equal roots
Solve it.
Given that has equal roots
and and are positive,
find the ratio
and solve the equation.
(I was able to deduce the relation , but how is the ratio further on calculated?
How are the value of and deduced in such a way that substituting their values would solve the equation? )
(The answers provided are and .)
Another way to do this: if we call the two equal roots "r" then we must have
and so must have and . That second equation reduces to so that r= 1 or r= -1. In order that p and q both be positive, we must have r= 1 and then we have so that .