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Question: If the sum of the roots of the equation (a + 1) x<sup>2</sup> + (2a + 3)x + (3a + 4) = 0 is –1, the...

If the sum of the roots of the equation

(a + 1) x2 + (2a + 3)x + (3a + 4) = 0 is –1, then the product of the roots is –

A

0

B

1

C

2

D

3

Answer

2

Explanation

Solution

(2a+3)a+1\frac{- (2a + 3)}{a + 1} = – 1 Ž a = – 2

\ Product = 3a+4a+1\frac{3a + 4}{a + 1} = 3(2)+42+1\frac{3( - 2) + 4}{- 2 + 1} = 2