Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.

  • A 3x2-3x+2=0
  • B 3x2+3x-2=0
  • C 2x2+3x-2=0
  • D 2x2-3x+2=0
  • E 2x2-3x-2=0
waec 1992mathematics

The correct answer is E. 2x2-3x-2=0

If x = \(-\frac{1}{2}\) and 2; then

\(x + \frac{1}{2} = 0\) and \(x - 2 = 0\)

\(\implies (x + \frac{1}{2})(x - 2) = 0\)

\(x^2 - 2x + \frac{1}{2}x - 1 = 0\)

\(x^2 - \frac{3}{2}x - 1 = 0\)

\(2x^2 - 3x - 2 = 0\)

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