If A.M. between positive numbers p and `q(p>=2)` is two times the GM.t

1.	If A.M. between positive numbers p and `q(p>=2)` is two times the GM.then `p:q` is
Answer» `AM=(p+q)/2` `GM=sqrt(pq)` `(p+q)/2=2sqrt(pq)` `p+q=4sqrt(pq)` squaring both side `p^2+q^2+2pq=16pq` `p^2+q^2-14pq=0` `p=(14qpmsqrt(1969^2-4q^2))/2` `p=(142pmsqrt(192q^2))/2` `p/2=7pm4sqrt3` `p/q=(2+sqrt3)^2` `((2+sqrt3)(2+sqrt3))/((2-sqrt3)(2+sqrt3))` `p/q=(2+sqrt3)/(2-sqrt3)`.

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If A.M. between positive numbers p and `q(p>=2)` is two times the GM.then `p:q` is

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