Choose the correct answer from the given four options : If the equation 2$x^{2}$ – 5x + (k + 3) = 0 has equal roots then the value of k is

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2$x^{2}$ – 5x + (k + 3) = 0 a = 2, b = –5, c = k + 3 $\therefore$ b2 – 4ac = (–5)2 – 4 x 2 x (k + 3) = 25 – 8(k + 3) $\therefore$ Roots are equal. $\therefore$ b2 – 4ac = 0 $\therefore$ 25 – 8(k + 3) = 0 25 – 8k - 24 = 0 1 – 8k = 0 $\Rightarrow$ 8k = 1 $\therefore$ k = (1)/(8).

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