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If Px2+(P+1)x+P=0 has equal roots, find the val...

If Px2+(P+1)x+P=0 has equal roots, find the values of P.

A.

-1 and 13

B.

1 and 13

C.

-1 and 13

D.

1 and 13

Correct answer is B

For equal roots, b24ac=0

From the equation, a=P,b=(P+1),c=P

(P+1)24(P)(P)=P2+2P+14P2=0

3P2+2P+1=03P22P1=0

3P23P+P1=0

3P(P1)+1(P1)=0

P=1 or 13