If $$x^2 + kx + k = 0$$ has no solution, then the value of k will satisfy:
Discriminant = b^2 - 4ac
for this equation
discriminant = $$k^2 - 4(1)(k) = k^2 - 4k$$
for no real roots, discriminant < 0
$$k^2 - 4k < 0$$
$$k^2 - 4k < 0$$
k(k-4)<0
k < 0 and k < 4
the answer is 0 > k < 4
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