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Question

If the roots of the quadratic equation x2+(p+2)x+(2p+5)=0 is real. Which of the following is true?



Correct Answer
A

Your Answer
B

Your Answer
C

Your Answer
D


Solution

The correct option is A


Compare x2+(p+2)x+(2p+5)=0byax2+bx+c=0

a = 1, b = p + 2 and c = 2p + 5

So, if roots are real Discriminant D 0

b24ac0 (p+2)24(2p+5)0

p2+4+4p8p200 p24p160

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