Question 50

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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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