Question

If the sum of the roots of the equation
(a + 1) x² + (2 a + 3) x + (3 a + 4) = 0 is -1, then the product
of the roots is
(a) 0 (b) 1 (c) 2 (d) 3

Answer 1

Answer:

2

c). option is correct.

Step-by-step explanation:

Given :

Sum of roots = - 1

(a + 1) x² + (2 a + 3) x + (3 a + 4) = 0

We know :

Sum of roots = - b / a

= > - 1 = - (2 a + 3)  / ( a + 1 )

= > - 1 ( a + 1 ) = - (2 a + 3)

= >  ( a + 1 ) = (2 a + 3)

= > a = - 2

Now we know :

Product of zeroes = c / a

= >  c / a = ( 3 a + 4 ) / ( a + 1 )

Putting a = - 2

= >  c / a = ( - 6 + 4 ) / ( - 2 + 1 )

= >  c / a = - 2 / - 1

= >  c / a = 2

Therefore , product of zeroes is 2.