Detailed solution for this.
Asked by g_archanasharma
16th December 2018,
6:09 PM
Answered by Expert
Answer:
Arithmetic mean = 
and Geometric mean = 
and Geometric mean = Given information : = 2× hence (p+q)2 = 16pq
= 2× hence (p+q)2 = 16pqp2 -(14q)p +q2 = 0 ............(1)
Eqn.(1) is quadratic in p, we get the roots p = (7 ± 4√3)q
let us consider p = (7+4√3)q
hence 
If we consider p = (7-4√3)q , this will not satisfy the given condition p>q.
Hence p : q = (2+√3) : (2-√3)
Answered by Expert
17th December 2018,
7:43 AM
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