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If A.M. between positive numbers p and q...

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

Text Solution

Verified by Experts

`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`
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