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  4. If the sum of the roots of the equation (m + 1) x2 + 2mx + 3 = 0 is 1, then the value of m is

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Q. If the sum of the roots of the equation $(m + 1) x^2 + 2mx + 3 = 0 $ is $1$, then the value of $m$ is

Complex Numbers and Quadratic Equations

Solution:

Sum of the roots = $- \frac{2m}{m+1} = 1$
$\Rightarrow \, -2m = m + 1 $
$\Rightarrow - 3 m = 1 $
$\Rightarrow \, m = - \frac{1}{3}$.