2.3d Forming New Quadratic Equation given a Quadratic Equation (Example)

Example

If the roots of $x^2-3x-7=0$   are α  and β  , find the equation whose roots are ${\alpha }^2\beta$   and $\alpha {\beta }^2$ .

Solution

Part 1 : Find SoR and PoR for the quadratic equation in the question




Part 2 : Form a new quadratic equation by finding SoR and PoR