The roots of the equation $$ax^2 + x + b = 0$$ are equal if:

Correct option is A

Given:

Given quadratic equation is$$ax^2 + x + b = 0$$​​

Formula Used:

For a quadratic equation $$ax^2 + bx + c = 0$$​​

If roots are equal then determinant D = $$b^2 - 4ac = 0$$​​

Solution:

For equation$$ax^2 + x + b = 0$$​​

a = a, b =1 and c = b

Then putting the values in D

We get,

​$$(1)^2 - 4(a)(b) = 0$$​​

$$1 = 4ab\\ab = \frac{1}{4}$$​

Hence option(a) is correct