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Question

If x2−2px+8p−15=0 has equal roots, then p=

A
3 or 5
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B
3 or 5
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C
3 or 5
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D
3 or 5
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Solution

The correct option is B 3 or 5
Given equation is x22px+8p15=0
Here a=1,b=2p,c=8p15
We know for equal roots, b24ac=0
Therefore, (2p)24(1)(8p15)=0
4p232p+60=0
p28p+15=0
(p5)(p3)=0
i.e., p=5 or 3

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