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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 equation:

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$10$ and $-10$

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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 equation: $5x^{2} - 2kx + 20 = 0$.Here,$a = 5$,$b = -2k$,and $c = 20$.Substituting these values into the discriminant formula:$(-2k)^{2} - 4(5)(20) = 0$$4k^{2} - 400 = 0$$4k^{2} = 400$$k^{2} = 100$$k = \pm 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 $k$: $5x^{2} - 2kx + 20 = 0$.

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