8. Form a quadratic polynomial equation

If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^2-7x+3=0\), form a quadratic equation in variable \(z\) whose roots are \({\alpha^2}{\beta^{-1}}\) and \({\beta^2}{\alpha^{-1}}\).

 

 

The equation is ${ii}^2-ii+i=0$.