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Find the quadratic equation whose roots are \(\frac{1}{2}\)  and -\(\frac{1}{3}\) 

Mathematics
WAEC 2020

Find the quadratic equation whose roots are \(\frac{1}{2}\)  and -\(\frac{1}{3}\) 

  • A. 3x\(^2\) + x + 1 = 0
  • B. 6x\(^2\) + x - 1 = 0
  • C. 3x\(^2\) + x - 1 = 0
  • D. 6x\(^2\) - x - 1 = 0
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Correct Answer: Option D
Explanation

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

(2x - 1) = 0 and (3x + 1) = 0

(2x - 1) (3x + 1) = 0

6x\(^2\) - x - 1 = 0


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