If one of the roots of the equation 3x^{2} + | vedclass

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(B) Given the quadratic equation $3x^{2} + 2kx - 3 = 0$.Since $x = -\frac{1}{2}$ is a root of the equation,it must satisfy the equation.Substitute $x

Vedclass · Accepted Answer

$-\frac{9}{4}$

Vedclass · Answer

(B) Given the quadratic equation $3x^{2} + 2kx - 3 = 0$.Since $x = -\frac{1}{2}$ is a root of the equation,it must satisfy the equation.Substitute $x = -\frac{1}{2}$ into the equation:$3(-\frac{1}{2})^{2} + 2k(-\frac{1}{2}) - 3 = 0$$3(\frac{1}{4}) - k - 3 = 0$$\frac{3}{4} - k - 3 = 0$$-k = 3 - \frac{3}{4}$$-k = \frac{12 - 3}{4}$$-k = \frac{9}{4}$$k = -\frac{9}{4}$

If one of the roots of the equation $3x^{2} + 2kx - 3 = 0$ is $-\frac{1}{2}$,then find the value of $k$.

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