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Determine the set of values of …

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Determine the set of values of k for which given quadratic equation has real roots. 2x^2 + 3x + k =0

Posted by Mitali Gupta 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

we have, 2x² + 3x + k = 0.
a = 2, b = 3 and, c= k
The given equation will have real and equal roots, if
D = 0
{tex}\therefore{/tex} D = b²- 4ac =0
{tex}\Rightarrow{/tex} 9 - 4 {tex}\times{/tex} 2 {tex}\times{/tex} k =0
{tex}\Rightarrow{/tex}9 - 8k = 0
{tex} \Rightarrow k= \frac { 9 } { 8 }{/tex}

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CBSE > Class 10 > Mathematics