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Step-by-step explanation:
As a(p+q)
2
+2bpq+c=0 and a(p+r)
2
+2bpr+c=0
Then q,r are roots of
a(p+x)
2
+2bpx+c=0
⇒ap
2
+ax
2
+2pax+2bpx+c=0
⇒ax
2
+(2pa+2pb)x+c+ap
2
=0
Hence, product of roots is
qr=
a
c+ap
2
⇒qr=p
2
+
a
c
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