Question

Determine the quadratic equation, whose sum and product of roots are – 9, 20

Answer 1

Sum of the roots = – 9 and Product of the roots = 20

The Quadratic equation is

x² – (sum of the roots) x + product of the roots = 0

x² – (– 9) x + 20 = 0

⇒ x² + 9x + 20 = 0