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(C) 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 equation:

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$10$ and $-10$

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(C) 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 equation: $x^{2} - kx + 25 = 0$.Here,$a = 1$,$b = -k$,and $c = 25$.Substituting these values into the discriminant formula:$(-k)^{2} - 4(1)(25) = 0$$k^{2} - 100 = 0$$k^{2} = 100$$k = \pm \sqrt{100}$$k = 10$ or $k = -10$.Thus,the values of $k$ are $10$ and $-10$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x^{2} - kx + 25 = 0$.

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