The roots of the quadratic equation $4x^2 - (a-1)^2 = 0$ are :

Question

Accepted Answer

Step 1: $$4x^2 - (a-1)^2 = 0 \Rightarrow 4x^2 = (a-1)^2$$
Step 2: $$x^2 = \frac{(a-1)^2}{4}$$
Step 3: $$x = \pm\frac{a-1}{2}$$
Step 4: Hence the roots are $\dfrac{a-1}{2}$ and $\dfrac{-(a-1)}{2} = \dfrac{-a+1}{2}$.

Correct option : (B)

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