Find the value of k so that the sum of the roots of the

Find the value of k so that the sum of the roots of the equation 3x² + (2x + 1)x - k - 5 = 0 is equal to the product of the roots :

The given equation is 3x² + (2k + 1)x - k - 5 = 0
Compare with ax² + bx + c = 0, we get
a = 3, b = 2k + 1, c = - k - 5

∴Sum of the roots =	- b	=	- ( 2k + 1 )
	a		3

and Product of the roots =	c	=	- k - 5	=	- ( k + 5 )
	a		3		3

According to question ,
∵ Sum of the roots = Product of the roots

∴	- ( 2k + 1 )	= -	( k + 5 )
	3		3

⇒ 2k + 1 = k + 5
⇒ 2k - k = 5 - 1
⇒ k = 4.
Therefore , the value of k is 4 .