Question

Determine the quadratic equation, whose sum and product of roots are `(-3)/2`, – 1

Answer 1

Sum of the roots = `(-3)/2`; Product of the roots = – 1

The Quadratic equation is

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

`x^2 - ((-3)/2)x + (-1)` = 0

⇒ `x^2 + 3/2x - 1` = 0

2x² + 3x – 2 = 0