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given equation is x^2-2px+8p-15=0
if it has equal root
then we know b^2-4ac= 0
put value s
(-2p)^2-4×1×(8p-15)=0
4p^2 =4 (8p-15)
p^2=8p-15
p^2-8p+15=0
p^2-5p-3p+15=0
p (p-5)-3 (p-5)=0
(p-5)(p-3)=0
therefore p =5 or p=3
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