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Find the equation whose roots are \(-\frac{2}{3}\) and 3

Mathematics
WAEC 2003

Find the equation whose roots are \(-\frac{2}{3}\) and 3

  • A. 3x2+11x-6=0
  • B. 3x2+7x+6=0
  • C. 3x2-11x-6=0
  • D. 3x2-7x-6=0
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Correct Answer: Option D
Explanation

\(x = -\frac{2}{3} \implies x + \frac{2}{3} = 0\)

\(x = 3 \implies x - 3 = 0\)

\(\implies (x - 3)(x + \frac{2}{3}) = 0\)

\(x^2 - 3x + \frac{2}{3}x - 2 = 0\)

\(x^2 - \frac{7}{3}x - 2 = 0\)

\(3x^2 - 7x - 6 = 0\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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