If the sum of the roots of the equation ((m + 1) x^2 + 2mx +... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

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

A

$\frac{1}{2}$

B

$-\frac{1}{2}$

C

$\frac{1}{3}$

D

$-\frac{1}{3}$

Answer

$-\frac{1}{3}$

Explanation

Solution

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