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

Mathematics
WAEC 2003

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. \(\frac{1}{3},3\)
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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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