Sequence and series

If ax^2+2bx+c=0 and px^2+2qx+r=0 have a common root and a/p, b/q , c/r are in arithmetic progression. Show that p,q,r are in geometric progression.


@ashishdeosingh pls send the answer more clearly i could not understand the last part

@ashishdeosingh Not Understood plz explain wt u did

@ashishdeosingh please send the answer again and explain it

@rushabhjain
i habe written the condition for common root.
and then have that terms are in ap.