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Find the roots of the equation 10x2 - 13x - 3 = 0

Mathematics
JAMB 1980

Find the roots of the equation 10x2 - 13x - 3 = 0
  • A. x = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
  • B. x = \(\frac{3}{10}\) or -1
  • C. x = \(\frac{3}{10}\) or 1
  • D. x = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
  • E. x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
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Correct Answer: Option E
Explanation
10x2 - 13x - 3 = 0 = 10x2 - 15x + 2x - 3 = 0

5x(2x - 3) + 2x - 3 = 0

= (5x + 1)(2x - 3) = 0

5x + 1 = 0 or 2x - 3 = 0

x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)

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