If 9

^{(x – (frac{1}{2}))}3x^{2}-
**A.**

(frac{1}{2}) -
**B.**

1 -
**C.**

2 -
**D.**

3

##### Correct Answer: Option B

##### Explanation

9^{(x – (frac{1}{2}))} 3x^{2} = 3^{2(x – (frac{1}{2}))} = 3x^{2}

∴ 2(x – (frac{1}{2})) = x^{2}

2x – 1 = x^{2}

hence x^{2} – 2x + 1 = 0

(x – 1)(x – 1) = 0

x = 1