What is the quadratic equation Whose roots are 2 and – $$\frac12$$​ ?

Correct option is C

Given:

The roots of the quadratic equation are 2 and $$-\frac{1}{2}$$​​

Concept Used:

x$$^2 - (\alpha + \beta)x + \alpha \beta = 0$$​

Solution:

Sum of roots α + β = $$2 + (-\frac{1}{2}) = \frac{3}{2}$$​​

Product of roots αβ = $$2 \times -\frac{1}{2} = -1$$​​

$$x^2 - \left( \frac{3}{2} \right) x + (-1) = 0\\ \ \\2x^2 - 3x - 2 = 0$$​