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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
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  • 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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