Question

If α & β are the roots of a quadratic polynomial x2(means x square) +k(2x+k-1)+2=0 , then find the value of 1/α+1/β

Answer 1

$\frac{1}{ \alpha } \: + \: \frac{1}{ \beta } \: = \: \frac{ \alpha \: + \: \beta }{ \alpha \beta }$
$\frac{ \alpha \: + \: \beta }{ \alpha \beta } \: = \: \frac{ - 2k}{ {k}^{2} \: - \: k \: + \: 2}$