3. Determine the quadratic equation

If \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2 - 4x + 5\), the find the quadratic equation whose roots are \(\alpha + 3\) and \(\beta + 3\).

 

The required quadratic equation is $i^i-ii+i$.

 

[Note: Enter the coefficients and variables in separate boxes]