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(A) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the roots are equal and real if the discriminant $D = b^{2} - 4ac = 0$.Given the equati

Vedclass · Accepted Answer

$27$

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(A) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the roots are equal and real if the discriminant $D = b^{2} - 4ac = 0$.Given the equation $3x^{2} - 18x + k = 0$,we identify the coefficients: $a = 3$,$b = -18$,and $c = k$.Substituting these values into the discriminant formula:$D = (-18)^{2} - 4(3)(k) = 0$$324 - 12k = 0$$12k = 324$$k = \frac{324}{12} = 27$.Therefore,the value of $k$ is $27$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $3x^{2} - 18x + k = 0$.

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