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
If the sum of the roots of the equation $(m + 1) x^2 + 2mx + 3 = 0 $ is $1$, then the value of $m$ is
Updated On: Jul 6, 2022
- $\frac{1}{2}$
- $-\frac{1}{2}$
- $\frac{1}{3}$
- $-\frac{1}{3}$
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The Correct Option is D
Solution and Explanation
Sum of the roots = $- \frac{2m}{m+1} = 1$
$\Rightarrow \, -2m = m + 1 $ $\Rightarrow - 3 m = 1 $
$\Rightarrow \, m = - \frac{1}{3}$.
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Concepts Used:
Complex Numbers and Quadratic Equations
Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.
Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.
