the quadratic equation x2 x k 0 has roots a and b use the substitution
Question
The quadratic equation X2 + X+ K =0 has roots a and b Use the substitution x 2u+ 1 to obtain a quadratic equation in u. \begin{aligned}
&\left(\frac{\alpha-1}{2}\right)\left(\frac{\beta-1}{2}\right) \text { in terms of } k\\
&\text { Hence, or otherwise, find the value of }
\end{aligned}