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If the product of the roots of the equat...

If the product of the roots of the equation `(a+1)x^2+(2a+3)x+(3a+4)=0i s2,` then find the sum roots.

Text Solution

Verified by Experts

The correct Answer is:
Sum of roots = -1
It is given that
`rArr (3a + 4)/( a + 1) = 2`
or 3a + 4 = 2a + 2
or a = -2
Also, `alpha + beta = -(2a + 3)/(a + 1)`
Putting the of a, we get the sum of roots as
`alpha + beta = - (2a + 3)/(a + 1) = - (-4 + 3)/(-2 + 1) = -1`
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