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Find the value of x in the equation 3x(^2) – 8x – 3 = 0

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.

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