Question

if one of the roots of 2x²+3x+k=0 is ½. find the value of k and other root​

Answer 1

Answer:

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Answer 2

$\alpha = \frac{1}{2} \\ \alpha + \beta = \frac{ - b}{a} \\ \frac{1}{2} + \beta = \frac{ - 3}{2} \\ \beta = \frac{ - 3}{2} - \frac{1}{2} = \frac{ - 4}{2} = - 2 \\ \alpha \beta = \frac{c}{a} \\ \frac{1}{2} \times - 2 = \frac{k}{2} \\ - 1 = \frac{k}{2} \\ k = - 2$

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