If the quadratic function 3x

^{2}– 7x + R is a perfect square, find R-
**A.**

(frac{49}{24}) -
**B.**

(frac{49}{12}) -
**C.**

(frac{49}{13}) -
**D.**

(frac{49}{3}) -
**E.**

(frac{49}{36})

##### Correct Answer: Option B

##### Explanation

3x^{2} – 7x + R. Computing the square, we have

x^{2} – (frac{7}{3}) = -(frac{R}{3})

((frac{x}{1} – frac{7}{6}))^{2} = -(frac{R}{3}) + (frac{49}{36})

(frac{-R}{3}) + (frac{49}{36}) = 0

R = (frac{49}{36}) x (frac{3}{1})

= (frac{49}{12})