# 2.7 Forming New Quadratic Equation given a Quadratic Equation

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

Click here to review the concept (to find sor and por)

Part 2 : Form a new quadratic equation by finding sor and por

Click here to review the concept (Forming Quadratic Equation)