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Solving QE Using Quadratic Formula When D>0

Solve the fol...

Question

Solve the following quadratic inequalities :
$2 x^{2} + 9 x + 4 > 0$ .

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Solution

Given,

$2 x^{2} + 9 x + 4 > 0$

$(2 x + 1) (x + 4) > 0$

$x < - 4 o r x > - \frac{1}{2}$

$⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} S o l u t i o n : & x < - 4 o r x > - \frac{1}{2} D e c i m a l : & x < - 4 o r x > - 0.5 I n t e r v a l N o t a t i o n : & (- \infty, - 4) \cup (- \frac{1}{2}, \infty) \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦$

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