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

Find the quadratic equation whose roots are -(frac{1}{2}) and 3
  • A.
    2x2 – 2x + 3 = 0
  • B.
    2x2 – 2x – 3 = 0
  • C.
    2x2 – 5x + 3 = 0
  • D.
    3x2 – 5x – 3 = 0
Correct Answer: Option D
Explanation

x = (frac{-1}{2})
x = 3
2x = -1, x = 3; 2x + 1 = 0
x – 3 = 0
(2x + 1)(x – 3) = 0
2x2 – 6x + x – 3 = 0
2x2 – 5x – 3 = 0