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. \(\frac{1}{3},3\)
Correct Answer: C. \(-\frac{1}{3},3\)
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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