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Solve the equation 3x\(^2\) + 25x - 18 = 0

Mathematics
WAEC 2025

Solve the equation 3x\(^2\) + 25x - 18 = 0

  • A. -3, 2
  • B. -9, \(\frac{2}{3}\)
  • C. -2, 9
  • D. -2, 3
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Correct Answer: Option B
Explanation

3x\(^2\) + 25x - 18 = 0;

3x\(^2\) - 2x + 27x - 18 = 0

x(3x - 2) + 9(2x + 2) = 0

(x + 9)(3x - 2) = 0

Either 3x - 2 = 0 or x + 9 = 0

3x = 2 or x = -9

∴ x = \(\frac{2}{3}\) or -9


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