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If sum of the roots of 3x^(2) + ( 3p+1)x...

If sum of the roots of `3x^(2) + ( 3p+1)x-(p+5)=0` is equal to their product, then what is the value of p?

A

2

B

3

C

4

D

9

Text Solution

Verified by Experts

The correct Answer is:
A
Let `alpha and beta " are the roots of the given equation " `.
` :. alpha + beta = (-(3p+1))/3`
` and alpha beta = (-(p+5))/3`
Now, ` (-(3p + 1 )) /3 = (-(p+5))/3`
`rArr 3p+1 = p+5`
`:. 2p = 4 `
` :. p= 2 `
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