Question

Form the quadratic equation if the roots are 3 and 8.

Answer 1

Let α= 3 and  β = 8

Sum of roots = α + β

= 3 + 8

= 11

Products of the roots = α x β

= 3 x 8

= 24

Quadratic equation is given by 

x² - (α + β) x + αβ = 0

∴ x² - 11x + 24 = 0 is the required quadratic equation.