Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.

Explanation

If x = \(-\frac{1}{2}\) and 2; then

\(x + \frac{1}{2} = 0\) and \(x - 2 = 0\)

\(\implies (x + \frac{1}{2})(x - 2) = 0\)

\(x^2 - 2x + \frac{1}{2}x - 1 = 0\)

\(x^2 - \frac{3}{2}x - 1 = 0\)

\(2x^2 - 3x - 2 = 0\)