Find the value of x in the equation 3x(^2) – 8x – 3 = 0
-
A.
(frac{1}{3},-3) -
B.
(-frac{1}{3},-3) -
C.
(-frac{1}{3},3) -
D.
(frac{1}{3},3)
Correct Answer: Option C
Explanation
3x(^2) – 8x – 3 = 0
3x(^2) – 9x + x – 3 = 0
3x(x – 3) + 1(x – 3) = 0
(3x + 1)(x – 3) = 0
3x = -1 (implies) x = (-frac{1}{3})
or x = 3.