If the sum of the roots of the equation $4 x^{2} + b x + 5 = 0$ be $3$ then find the value of $b$ .

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Solution

Given the quadratic equation,
$4 x^{2} + b x + 5 = 0$ .
Now from the relation between the roots and co-efficient we get,
the sum of the roots $= - \frac{b}{4}$ .
Now according to the problem,
$- \frac{b}{4} = 3$
or, $b = - 12$ .

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