Choose the correct answer from the given four options : The value(s) of k for which the quadratic equation 2$x^{2}$ – kx + k = 0 has equal roots is (are)

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KollegeApply · Accepted Answer

2$x^{2}$ – kx + k = 0 a = 2, b = -k, c = k $\therefore$ b2 - 4ac = (-k)2 - 4 x 2 x 4 = k2 - 8k $\therefore$ Roots are equal. $\therefore$ b2 - 4ac = 0 k2 - 8k = 0 $\Rightarrow$ k(k - 8) = 0 Either k = 0 or k - 8 = 0, then k = 8 k = 0, 8.

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