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  • The real values of    for which the roots of the equation <img alt="x^{2}+3x+a=0" src="/latex-image/?x%5E%7B2%7D&plus;3x&plus;a%3

The real values of  'a'  for which the roots of the equation x^{2}+3x+a=0 are real and distinct is

Option: 1

(-\infty,9)


Option: 2

\left ( -\infty,\frac{9}{4} \right )


Option: 3

\left (\frac{9}{4}, \infty \right )


Option: 4

None of these


Answers (1)

best_answer

As coefficients are real numbers so for real and distincts roots

D>0\\

\Rightarrow 3^{2}-4\cdot1\cdot a> 0\\

\Rightarrow 9-4a> 0\\

\Rightarrow 4a< 9\\

\Rightarrow a< \frac{9}{4}

Posted by

SANGALDEEP SINGH

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