Solve $9 p^{2} - 5 p - 4 = 0$ using formula. Then one of the roots is ____ .

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Solution

The correct option is D $1$
For the equation, $9 p^{2} - 5 p - 4 = 0,$

here $a = 9, b = - 5, c = - 4$

Applying the quadratic formula,
Root $p = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

$p = \frac{5 \pm \sqrt{25 - 4 (- 4) (9)}}{2 \times 9}$
$p = \frac{5 \pm \sqrt{169}}{18}$
$∴ p = 1, \frac{- 4}{9}$

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