Question

Determine the quadratic equation, whose sum and product of roots are `5/3, 4`

Answer 1

Sum of the roots = `5/3`;  Product of the roots = 4

The Quadratic equation is

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

`x^2 - (5/3)x + 4` = 0

⇒ `x^2 - 5/3x + 4` = 0

3x² – 5x + 12 = 0