Construct a quadratic equation whose roots are ?1/2 and 2.
MATHEMATICS
WAEC 1992
Construct a quadratic equation whose roots are ?1/2 and 2.
- A. 3x2-3x+2=0
- B. 3x2+3x-2=0
- C. 2x2+3x-2=0
- D. 2x2-3x-2=0
Correct Answer: D. 2x2-3x-2=0
Explanation
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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