If the ratios of the roots of the equati...

If the ratios of the roots of the equation `lx^2+nx+n=0` are in the ratio p:q,then prove that `sqrt(p/q)+sqrt(q/p)+sqrt(n/l)=0`

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`lx^2+nx+n=0`
`alpha+beta=-n/l`
`alpha*beta=n/l`
`alpha/beta=p/q`
let`alpha=pk and beta=qk`
`k(p+q)=-n/l`
`p+q=-n/l*1/k`
`sqrt(pq)=sqrt(n/l)*1/k`
...

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