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If $$x^2 + kx + k = 0$$ has repeated roots, then the value of $$k$$ will satisfy:
$$k < 0  or  k > 4$$
$$k = 4$$ only
$$0 < k < 4$$
$$k = 4  or  k = 0$$
For repeated root,Discriminate Must be = 0Thus, $$D = b^2 - 4ac$$Here, b = k , a = 1 & c = k=> $$k^2 - 4\times k$$ = 0=> k(k-4) = 0=> k = 4 or k = 0Thus, value of k is Natural number
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