Let the reciprocals of the roots of $5x^2 + 3x + 4$ be $\alpha$ and $\beta$. Evaluate $\alpha + \beta$ .
It will be - b/c = - 3/4
Let the roots be m and n
By Vieta
m + n = -3/5
mn = 4/5
So
a + b = 1/m + 1 /n = ( m + n) / (mn) = (-3/5) / ( 4/5) = -3/4
