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From the equation whose roots are x frac 1 2 an... - WAEC Mathematics 2011 Question

From the equation whose roots are x = (\frac{1}{2}) and -(\frac{2}{3})

A
6x2 - x + 2 = 0
B
6x2 - x - 2 = 0
C
6x2 + x + 2 = 0
D
6x2 + x - 2 = 0
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Correct Option: D

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

expand (x - (\frac{1}{2}))(x + (\frac{2}{3})) = 0

x(x + (\frac{2}{3})) - (\frac{1}{2}(x + \frac{2}{3})) = 0

x2 + (\frac{4x - 3x}{6} - \frac{2}{6} = 0)

(x^2 + \frac{x}{6} - 2 = 0)

6x2 + x - 2 = 0

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