waecmaths question:
Find the quadratic equation whose roots are – ½ and 3
Option A:
$2{{x}^{2}}-2x+3=0$
Option B:
$2{{x}^{2}}-2x-3=0$
Option C:
$2{{x}^{2}}-5x+3=0$
Option D:
$2{{x}^{2}}-5x-3=0$
waecmaths solution:
$\begin{align} & (x+\tfrac{1}{2})(x-3)=0 \\ & {{x}^{2}}-3x+\tfrac{1}{2}x-\tfrac{3}{2}=0 \\ & {{x}^{2}}-\tfrac{5}{2}x-\tfrac{3}{2}=0 \\ & 2{{x}^{2}}-5x-3=0 \\\end{align}$
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