......... can be taken as the value of k,if o | vedclass

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(A) Given the quadratic equation $k x^{2} - 7x + 6 = 0$.Since $\frac{3}{2}$ is a root of the equation,it must satisfy the equation.Substitute $x = \fr

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$2$

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(A) Given the quadratic equation $k x^{2} - 7x + 6 = 0$.Since $\frac{3}{2}$ is a root of the equation,it must satisfy the equation.Substitute $x = \frac{3}{2}$ into the equation:$k(\frac{3}{2})^{2} - 7(\frac{3}{2}) + 6 = 0$$k(\frac{9}{4}) - \frac{21}{2} + 6 = 0$Multiply the entire equation by $4$ to clear the denominators:$9k - 42 + 24 = 0$$9k - 18 = 0$$9k = 18$$k = 2$Therefore,the value of $k$ is $2$.

......... can be taken as the value of $k$,if one of the roots of the quadratic equation $k x^{2} - 7x + 6 = 0$ is $\frac{3}{2}$.

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